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Published byRaymond Foster Modified over 9 years ago

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**Converting Fractions to Decimals & Decimals to Fractions**

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**

Divide numerator by denominator using long division. 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.**

5 ¾ 1/8 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. …= 0.3 …= 0.12 …=

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**Write each fraction or mixed number as a decimal.**

7/9 8 1/3 1/11 6 4/9 5/8 2/3 1 3/11 6 2/5 4 5/6

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**There were 6 girls and 18 boys in Mrs. Johnson’s math class**

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**

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**

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 (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.**

0.48 0.564 0.3 2.8 .72 4.6

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Class Work

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