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Equivalent Fractions - Worksheet 10 - 3rd Grade

Hard

Identify and generate equivalent fractions (Hard)

18 problems · 15-20 minutes · Skills: fractions, equivalence

About This Worksheet

This hard-level worksheet contains 18 problems designed for 3rd Grade students practicing equivalent fractions. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Equivalent fractions are one of the most important and most tested fraction concepts. Understanding that a fraction can be expressed in infinitely many equivalent forms is the foundation for simplifying fractions and finding common denominators.

  • Identify equivalent fractions using visual models
  • Generate equivalent fractions by multiplying numerator and denominator by the same number
  • Recognize that 1/2, 2/4, and 3/6 all represent the same amount
  • Simplify fractions to lowest terms by dividing by common factors
  • Use equivalent fractions to find common denominators for comparison

How to Solve: Worked Example

Example Problem: Simplify 18/24 to its lowest terms.
Solution Steps:
  1. Find the greatest common factor (GCF) of 18 and 24.
  2. Factors of 18: 1, 2, 3, 6, 9, 18.
  3. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
  4. The GCF is 6.
  5. Divide both numerator and denominator by 6: 18 ÷ 6 = 3, 24 ÷ 6 = 4.
  6. 18/24 = 3/4.
Answer: 3/4
Tip: A fraction is in lowest terms when the only common factor of the numerator and denominator is 1.
1
18/24 = ___/4
2
4/7 = ___/35
3
18/36 = ___/6
4
6/36 = ___/6
5
20/40 = ___/8
6
3/6 = ___/18
7
5/7 = ___/14
8
18/42 = ___/7
9
3/4 = ___/20
10
8/24 = ___/6
11
4/14 = ___/7
12
3/4 = ___/12
13
10/16 = ___/8
14
10/40 = ___/8
15
2/5 = ___/30
16
3/6 = ___/12
17
4/14 = ___/7
18
18/36 = ___/6

Answer Key

1. 32. 203. 34. 15. 46. 97. 108. 39. 1510. 211. 212. 913. 514. 215. 1216. 617. 218. 3

Frequently Asked Questions

How do I download this equivalent fractions - worksheet 10 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this fractions worksheet cover?

This worksheet focuses on fractions, equivalence. It is designed for 3rd Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.