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Math

Converting Fractions to Decimals & Decimals to Fractions

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Vocabulary

Terminating Decimal—A decimal whose digits end.

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How to Convert Fractions into Decimals

1. Divide numerator by denominator using long division.

2. Divide numerator by denominator using your calculator. (Do this to check your answers!)

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Write each fraction or mixed number as a decimal.

a. ¼

b. 5 ¾

c. 1/8

d. 7 3/5

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Vocabulary

Repeating Decimal—A decimal whose digits repeats in groups of one or more.

Bar Notation—In repeating decimals, the line or bar placed over the digits that repeat. 0.33333…= 0.3 0.121212…= 0.12 11.3858585…= 11.385

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Write each fraction or mixed number as a decimal.

a. 7/9

b. 8 1/3

c. 1/11

d. 6 4/9

e. 5/8

f. 2/3

g. 1 3/11

h. 6 2/5

i. 4 5/6

There were 6 girls and 18 boys in Mrs. Johnson’s math class. Write the number of girls as a fraction of the number of boys. Then convert the fraction to a repeating decimal.

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In a neighborhood of 72 families, 18 families own one or more cats. Write the number of families who own one or more cats as a fraction. Then convert the fraction to a decimal.

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In Italy, about 74 of every 100 people use cellular telephones. Write the fraction of cellular phone users in Italy. Then write the fraction as a decimal.

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Converting Decimals to Fractions

Use the place value of the final digit as the denominator.

Be sure to simplify!Example:

.62 = 62 = 31

100 50(I used 100 as the denominator because the final digit (2) is in the

hundredths place.)

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Place Value

0.4 Tenths—1 place past decimal

0.44 Hundredths—2 places past decimal

0.444 Thousandths—3 places past decimal

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Write each number as a fraction in simplest form.

a. 0.48

b. 0.564

c. 0.3

d. 2.8

e. .72

f. 4.6

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Class Work