Converting Fractions to Converting Fractions to DecimalsDecimals

Ms. StewartMs. Stewart

Math 7Math 7

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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?

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)

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

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

Practice QuestionPractice Question

Express ¼ as a decimal.Express ¼ as a decimal.

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.

Practice QuestionPractice Question

Write 4/5 as a decimal using division.Write 4/5 as a decimal using division.