Relating Fractions and Decimals for 4th Grade

Relating Fractions and Decimals for 4th Grade

A decimal and a fraction with denominator 10 or 100 name the same amount, which is what makes conversion between them direct at this level. The examples below convert in both directions, with number lines and practice problems with answers.

DETAILED EXPLANATION

Fractions with denominators 10 or 100 can be written as decimals. 3/10 = 0.3; 25/100 = 0.25. This connects fractions to place value.

WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS

Example 1

Write 7/10 as a decimal.

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Solutions:

Step 1: Apply the concept from the lesson above.

Step 2: Carry out the operation or reasoning.

Answer: 7/10 = 0.7

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