Worked Example 1
Multiplying to Make Smaller Pieces
Write a fraction equivalent to 23 with a denominator of 12.
- 13 × 4 = 12, so multiply the denominator by 4.
- 2Multiply the numerator by the same number: 2 × 4 = 8
Answer: 23 = 812
Florida Grade 4 Math · Fractions
MA.4.FR.1.3: Generating Equivalent Fractions
What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.4.FR.1.3?
Students identify and create equivalent fractions, including fractions greater than one, and describe what happens to the numerator and denominator.
Multiplying (or dividing) the numerator and the denominator by the same number gives an equivalent fraction. The pieces change size, but the amount stays the same.
Official benchmarkIdentify and generate equivalent fractions, including fractions greater than one. Describe how the numerator and denominator are affected when the equivalent fraction is created.
On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Fractions and Decimals, which is about 31–37% of the test.
Worked Examples
Worked Example 2
Dividing to Make Bigger Pieces
Write 108 with a denominator of 4.
- 18 ÷ 2 = 4, so divide the denominator by 2.
- 2Divide the numerator by 2 too: 10 ÷ 2 = 5
Answer: 108 = 54
Common Mistakes to Watch For
Adding the same number to the top and bottom
Wrong:23 = 45
Adding changes the amount. Multiply both by the same number: 23 = 46.
Changing only the numerator
Wrong:34 = 64
Multiply both the numerator and denominator by 2: 34 = 68.
Helpful Math Tip
Fold a paper strip in fourths and shade 3 parts. Then fold it in half again: there are now 8 parts and 6 are shaded, but the shaded amount didn't change.
Related Grade 4 Skills
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Start Practicing FreeIndependent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.