converting fractions to decimals ms. stewart math 7 copy slides with a pencil icon
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Converting Fractions to Converting Fractions to DecimalsDecimals
Ms. StewartMs. Stewart
Math 7Math 7
COPY SLIDES WITH A PENCIL
ICON
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Equivalent FractionsEquivalent Fractions
What are equivalent fractions?What are equivalent fractions?
Can you give me some examples?Can you give me some examples?
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Converting Fractions to Converting Fractions to DecimalsDecimals
To convert a Fraction to a Decimal manually, follow To convert a Fraction to a Decimal manually, follow these steps:these steps:
Step 1: Find a number you can multiply by Step 1: Find a number you can multiply by the bottom the bottom of the fractionof the fraction to make it 10, or 100, or 1000, or any 1 to make it 10, or 100, or 1000, or any 1 followed by 0s.followed by 0s.
Step 2: Multiply both top and bottom by that number.Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the Step 3. Then write down just the top number, putting the decimal place in the correct spot (one space from the decimal place in the correct spot (one space from the right for every zero in the bottom number) right for every zero in the bottom number)
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Method #1: Converting with Method #1: Converting with ProportionsProportions
Example # 1:Example # 1: Express 3/4 as a Decimal Express 3/4 as a Decimal Step 1: We can multiply 4 by Step 1: We can multiply 4 by 2525 to to
become 100become 100 Step 2: Multiply top and bottom by 25Step 2: Multiply top and bottom by 25
3 = 753 = 75 4 1004 100
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Example # 1 continued….Example # 1 continued….
Step 3: Write down 75 with the decimal Step 3: Write down 75 with the decimal place 2 spaces from the right (because place 2 spaces from the right (because 100 has 2 zeros);100 has 2 zeros);
Answer = 0.75Answer = 0.75
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Practice QuestionPractice Question
Express ¼ as a decimal.Express ¼ as a decimal.
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Method #2: Convert by DividingMethod #2: Convert by Dividing
Example #1:Example #1: to write 5/8 as a decimal, to write 5/8 as a decimal, we need to calculate 5 ÷ 8:we need to calculate 5 ÷ 8: 0.625 0.625
8 √ 5.000 8 √ 5.000
So = 0.625 as a decimal. So = 0.625 as a decimal.
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Practice QuestionPractice Question
Write 4/5 as a decimal using division.Write 4/5 as a decimal using division.