example 1 writing decimals as fractions write the decimal as a fraction in simplest form
TRANSCRIPT
![Page 1: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/1.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
![Page 2: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/2.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
a. 0.8 =
![Page 3: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/3.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 =
![Page 4: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/4.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108 =
![Page 5: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/5.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108
54=
![Page 6: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/6.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.a. 0.8 = 108
54=
b. 0.36 =
![Page 7: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/7.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 =
![Page 8: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/8.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 = 10036 =
![Page 9: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/9.jpg)
EXAMPLE 1 Writing Decimals as Fractions
Write the decimal as a fraction in simplest form.
Write eight tenths as a fraction. Simplify.
Write thirty-six hundredths as a fraction. Simplify.
a. 0.8 = 108
54=
b. 0.36 = 10036 = 25
9
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EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
Planets
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EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
a. Length of day on Saturn: 10.5 hours
Planets
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EXAMPLE 2 Writing Decimals as Mixed Numbers
The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.
a. Length of day on Saturn: 10.5 hoursb. Length of day on Jupiter: 9.92 hours
Planets
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EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.a.10.5 =
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EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.a.10.5 = 10
105
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EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
a.10.5 = 10
105
= 10 2
1
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EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
ANSWER
10.5 = 10 105
= 10 2
1
1 2
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EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 =
![Page 18: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/18.jpg)
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
![Page 19: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/19.jpg)
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
Simplify.
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
![Page 20: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/20.jpg)
EXAMPLE 2 Writing Decimals as Mixed Numbers
SOLUTION
Write ten and five tenths as a mixed number.
Simplify.
The length of a day on Saturn is 10 hours.
a.
b. Write nine and ninety-two hundredths as a
Simplify.
ANSWER
mixed number.
10.5 = 10
105
= 10 2
1
1 2 9.92 = 100
92 9
9 25 23=
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The length of a day on Jupiter is hours.
ANSWER
EXAMPLE 2
9 25
23
EXAMPLE 2 Writing Decimals as Mixed Numbers
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EXAMPLE 3 Decimals with Zeros
Write the decimal as a fraction or mixed number in simplest form.
![Page 23: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/23.jpg)
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
2.04
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EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
2.04
![Page 25: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/25.jpg)
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number. 100
4 2 2.04 =
![Page 26: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/26.jpg)
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
![Page 27: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/27.jpg)
EXAMPLE 3 Decimals with Zeros
a.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
![Page 28: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/28.jpg)
EXAMPLE 3 Decimals with Zeros
a.
b.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005
![Page 29: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/29.jpg)
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005
![Page 30: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/30.jpg)
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005 = 1000 5
4
![Page 31: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/31.jpg)
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Simplify.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2 =
4.005 = 1000 5
4
![Page 32: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/32.jpg)
EXAMPLE 3 Decimals with Zeros
a.
b. Write four and five thousandths as a mixed number.
Simplify.
Write the decimal as a fraction or mixed number in simplest form.
Write two and four hundredths as a mixed number.
Simplify.
100 4 2 2.04 =
25 1 2
=
4.005 = 1000
200 1 4 =
5
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EXAMPLE 3 Decimals with Zeros
c.
0.608
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EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a fraction
0.608
![Page 35: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/35.jpg)
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
fraction. 1000
608 0.608 =
![Page 36: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/36.jpg)
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
Simplify.
fraction. 1000
608 0.608 =
![Page 37: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/37.jpg)
EXAMPLE 3 Decimals with Zeros
c. Write six hundred eight thousandths as a
Simplify.
fraction. 1000
608 0.608 =
125 76 =
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
![Page 39: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/39.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
![Page 40: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/40.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
2. 0.18
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
0.4 1.
ANSWER 5
2
2. 0.18
50 9 ANSWER
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
![Page 43: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/43.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
![Page 44: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/44.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
4. 1.82
![Page 45: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/45.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.7 3.
10 7
1
ANSWER
4. 1.82
50 41 1 ANSWER
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
![Page 47: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/47.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
6. 2.005
![Page 49: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/49.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
5. 0.03
ANSWER 100 3
6. 2.005
ANSWER 200
1 2
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
![Page 51: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/51.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
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GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
8. 0.405
![Page 53: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/53.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
Write the decimal as a fraction or mixed number in simplest form.
1.025
7.
ANSWER 1
40 1
8.
0.405
ANSWER 200 81
![Page 54: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/54.jpg)
GUIDED PRACTICE for Examples 1, 2, and 3
9. What If? The length of a day on Mars is 24.62 hours. Write the length as a mixed number in simplest form.
![Page 55: EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56649ee75503460f94bf75ee/html5/thumbnails/55.jpg)
31
GUIDED PRACTICE for Examples 1, 2, and 3
24 50
9. What If? The length of a day on Mars is 24.62 hours. Write the length as a mixed number in simplest form.
ANSWER