Copyright©amberpasillas2010 CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!
1 Math Converting Fractions to Decimals & Decimals to Fractions.
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Transcript of 1 Math Converting Fractions to Decimals & Decimals to Fractions.
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1
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
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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