Equivalent Fractions and Comparing Fractions

4th Grade MathFractions and Decimals4 pages

About this worksheet

Equivalence and comparison practice for 4th grade fractions, covering Common Core 4.NF.1 and 4.NF.2. Fraction bars showing 2/3 lined up against 4/6 open the sheet, and students generate equivalents by multiplying (3/4 by 2, 1/5 by 3, 2/3 by 4) before filling missing values like 1/4 = ?/12. A benchmark sort sends 3/8, 4/6, 5/10, 2/6, 7/12 and 4/8 into columns around 1/2, four comparison pairs demand written reasoning, and the closing problem weighs Maya's 5/8 of a pizza against Caleb's 3/4. The answer key is included.

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$Equivalent Fractions and Comparing Fractions: Fractions and Decimals - page 1$

$Equivalent Fractions and Comparing Fractions: Fractions and Decimals - page 2$

$Equivalent Fractions and Comparing Fractions: Fractions and Decimals - page 3$

$Equivalent Fractions and Comparing Fractions: Fractions and Decimals - page 4$

Curriculum objectives covered

4.NF.1

“Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.”

Part 1 top to bottom, from the 2/3 = 4/6 bar diagram to the missing-value items.

4.NF.2

“Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.”

The 1/2 benchmark sort, the four reasoned comparisons in Part 3, and the identical-pizzas condition in question 8.

What's inside this worksheet

Part 1: Visual Equivalence & Generating Fractions

The bars prove 2/3 = 4/6 first. Then three multiply-by tasks and three missing-number items, including 5/6 = 10/? and 3/8 = 9/?.

Part 2: Benchmark Comparison with 1/2

Six fractions sort into less than, equal to or greater than 1/2. Two of them (5/10 and 4/8) belong in the equal column, which surprises sorters expecting one each.

Part 3: Comparing Fractions

3/5 against 3/8, 5/6 against 7/12, 4/10 against 2/5, and 3/4 against 5/8, each with a reasoning line for common denominators or benchmark logic.

Part 4: Problem Solving

Maya ate 5/8 of her pizza, Caleb 3/4 of his identical one. The explanation must use equivalent fractions, and the printed pizzas give a visual check.

How teachers use it

Two-day split

Part 1 belongs with your equivalence lesson, Parts 2 to 4 with comparison. Copy accordingly rather than running it in one sitting.

Reasoning norms

Refuse bare symbols in Part 3. The line under each item exists so "because 6/8 is more than 5/8" becomes the class standard.

Discussion closer

End with question 8 and ask who used 6/8 and who used the picture. Both camps proving the same answer is the lesson.

More 4th Grade Math worksheets

Multi-Digit Operations Measurement and Data Geometry Factors and Multiples

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