mixed numbers and improper fractions a mixed number is a combination of a whole number and a...

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Mixed Numbers and Improper Fractions A mixed number is a combination of a whole number and a fraction. For example... n improper fraction is a fraction in hich the numerator is larger than he denominator. 4 3 1 4 7 For example... Every improper fraction has an equivalent mixed number and vice versa. 4 7 4 3 1

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Mixed Numbers and Improper Fractions

A mixed number is a combinationof a whole number and a fraction. For example...

An improper fraction is a fraction inwhich the numerator is larger thanthe denominator.

4

31

4

7For example...

Every improper fractionhas an equivalent

mixed number and vice versa.4

74

31

Mixed Numbers and Improper Fractions

4

7

4

31

I wonder how I canchange a mixed numberto an improper fraction?

Mixed Numbers and Improper Fractions

4

31 STEP 1 - Multiply the denominator

and the whole number.

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 44

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 4

STEP 2 - Add the product to the numerator.

4

4 + 3

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 4

STEP 2 - Add the product to the numerator.

4

4 + 3 = 7

7

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 4

STEP 2 - Add the product to the numerator.

4 + 3 = 7

7

STEP 3 - The sum becomes the newnumerator.

?

7

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 4

STEP 2 - Add the product to the numerator.

4 + 3 = 7STEP 3 - The sum becomes the newnumerator.

4

7 STEP 4 - The denominatorstays the same.

Mixed Numbers and Improper Fractions

4

31

STEP 1 - Multiply the denominatorand the whole number.

4 x 1 = 4

STEP 2 - Add the product to the numerator.

4 + 3 = 7STEP 3 - The sum becomes the newnumerator.

4

7 STEP 4 - The denominatorstays the same.

So...

Mixed Numbers and Improper Fractions

4

7

4

31

Mixed Numbers & Improper Fractions

5

23

STEP 1 - Multiply the denominatorand the whole number.

STEP 2 - Add the product to the numerator.

STEP 3 - The sum becomes the newnumerator.

STEP 4 - The denominator stays the same.

5

17

Mixed Numbers & Improper Fractions

3

15

STEP 1 - __________ the __________and the _______________.

STEP 2 - _______ the ____________ to the ____________.

STEP 3 - The _______ becomes the new _______________.

STEP 4 - The _______________ stays the __________.

3

16

Mixed Numbers & Improper Fractions

7

21

5

382

16

4

310

Mixed Numbers and Improper Fractions

I wonder how I wouldchange an improper

fraction to amixed number?

4

74

31

Mixed Numbers and Improper Fractions

4

7

The fraction bar is anotherway of writing a division

sign.

Mixed Numbers and Improper Fractions

4

7

The fraction bar is anotherway of writing a division

sign.

Means... 47 4

7

So...

Mixed Numbers and Improper Fractions

47 Can also bewritten like this... 74

Mixed Numbers and Improper Fractions

74So, how do I solve

this problem?

Mixed Numbers and Improper Fractions

74STEP 1 - Ask how many times the 4 willgo into the 7.

Mixed Numbers and Improper Fractions

74STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Mixed Numbers and Improper Fractions

174

STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Put a 1 above the 7.

Mixed Numbers and Improper Fractions

174

STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Put a 1 above the 7.

Take 1 times 4...

Mixed Numbers and Improper Fractions

174

STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Put a 1 above the 7.

Take 1 times 4...441

Mixed Numbers and Improper Fractions

STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Put a 1 above the 7.

Take 1 times 4… and subtract theanswer from the 7.441

1744

Mixed Numbers and Improper Fractions

STEP 1 - Ask how many times the 4 willgo into the 7.

4 will go in 1 time.

Put a 1 above the 7.

Take 1 times 4... and subtract theanswer from the 7.

17443

Mixed Numbers and Improper Fractions

17443

3 STEP 2 - The remainder becomes the newnumerator...

Mixed Numbers and Improper Fractions

17443

4

3 STEP 2 - The remainder becomes the newnumerator…and the denominator stays thesame.

So...

Mixed Numbers and Improper Fractions

4

31

4

7

Mixed Numbers and Improper Fractions

3

8Change to a

division problem. 38

Solve!

Mixed Numbers and Improper Fractions

5

12

Mixed Numbers and Improper Fractions

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