Decimals and Fractions

Decimals and Fractions

by Emily Hilk

​Express a fraction as a decimal

-​To express a fraction as a decimal, find an equivalent fraction with a denominator of 10 or 100

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Express 1/5 as a decimal

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Step 1: Find an equivalent fraction: ​1/5 = 2/10

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Step 2: Express the fraction as a decimal: ​2/10 = 0.2

​Express a mixed number as a decimal

-​To express a mixed number as a decimal, find an equivalent fraction with a denominator of 10 or 100

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Express 3 4/5 as a decimal

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Step 1: Find an equivalent fraction: ​3 4/5 = 3 8/10

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Step 2: Express the fraction as a decimal: ​3 8/10= 3.8

​Express an improper fraction as a decimal

-​To express an improper fraction as a decimal, convert it into a mixed number and then find an equivalent fraction with a denominator of 10 or 100

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Express 7/4 as a decimal

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Step 1: Convert it into a mixed number: 7/4 = 1 3/4

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Step 2: Find an equivalent fraction: ​1 3/4 = 1 75/100

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Step 3: Express the fraction as a decimal: 1 75/100 = 1.75

Fill in the Blanks

3/5 = X/10

X = ?

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Express the fraction as a decimal:

6/10

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Express this fraction as a decimal:

2 1/2

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Express the fraction as a decimal:

1/4

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Express the mixed number as a decimal:

3 4/25

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Write the improper fraction as a mixed number:

7/5

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Write the mixed number as a decimal:

1 2/10