Fractions to Decimals using Equivalent Fractions Worksheets

“Converting Fractions to Decimals” worksheets.
Convert Fractions to Decimals (denominator 10, 100, or 1000)
Convert Mixed Numbers to Decimals (denominator 10, 100, or 1000)

Convert Fractions to Decimals (use equivalent fractions)
Convert Fractions to Decimals (use long division)
Convert Fractions to Repeating Decimals (recurring decimals)

Free math worksheets to help Grade 6 students learn how to convert fractions to decimals using equivalent fractions with denominators 10, 100, or 1000.

How to convert fractions to decimals using equivalent fractions?

When converting fractions to decimals, we need to divide the numerator by the denominator. However, if we can convert the fraction to an equivalent fraction with denominators 10, 100, or 1000, we can use a shortcut when dividing by 10, 100, or 1000.

You can follow these steps to convert fractions to decimals using equivalent fractions.

1. Check to see if the denominator of the fraction is a factor of 10, 100, or 1000. Some examples are 2, 4, 5, 20, 25, and 50.
2. Multiply both the numerator and denominator of the fraction by the appropriate factor to create an equivalent fraction with the desired denominator of either 10, 100, or 1000.
Example: Multiply 3/4 by 25/25 to get an equivalent fraction with a denominator of 100: (3/4) × (25/25) = 75/100.
3. When dividing by 10, 100, or 1000, we can use the shortcut: move the decimal point of the numerator the same number of places to the right as the number of zeros in the denominator.
Example: 75 ÷ 100 = 0.75 (move the decimal point two places to the right)

Using equivalent fractions helps in converting fractions to decimals by finding an equivalent fraction with a denominator of 10, 100, or 1000 that makes conversion straightforward.

Have a look at this video if you need to review how to convert fractions to decimals using equivalent fractions.

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More Convert Fractions to Decimals using Equivalent Fractions Worksheets

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Fractions to Decimals Worksheet #1
Fractions to Decimals Worksheet #2

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