Unit Fractions - Worksheet 10 - 3rd Grade

Hard

Understand unit fractions as one equal part of a whole (Hard)

18 problems · 10-15 minutes · Skills: fractions, number sense

About This Worksheet

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

Unit fractions are the building blocks of all fractions. Every non-unit fraction can be described as multiple copies of a unit fraction (3/4 = three copies of 1/4). This understanding makes fraction addition and multiplication intuitive.

  • Understand a unit fraction as 1 part of a whole divided into equal parts
  • Represent unit fractions with area models and number lines
  • Recognize that larger denominators mean smaller unit fractions
  • Order unit fractions from least to greatest using denominators
  • Explain why 1/8 is less than 1/3 using equal-sharing reasoning

How to Solve: Worked Example

Example Problem: Which fraction is larger: 1/3 or 1/4? Explain why.
Solution Steps:
  1. Draw a number line or a shape divided into equal parts.
  2. Divide one shape into 3 equal parts — each piece is 1/3.
  3. Divide another identical shape into 4 equal parts — each piece is 1/4.
  4. The more parts you divide into, the smaller each part becomes.
  5. So 1/3 > 1/4 because thirds are larger pieces than fourths.
Answer: 1/3 is larger than 1/4
Tip: For unit fractions, the bigger the denominator, the smaller the fraction. This is counterintuitive but makes sense when you picture the pieces.
1
Which is larger: 1/3 or 1/4?
2
There are 54 items. 1/9 of them are red. How many are red?
3
There are 45 items. 1/9 of them are red. How many are red?
4
Which is larger: 1/3 or 1/8?
5
Which is larger: 1/3 or 1/6?
6
Which is larger: 1/3 or 1/4?
7
Which is larger: 1/4 or 1/7?
8
There are 15 items. 1/5 of them are red. How many are red?
9
Which is larger: 1/4 or 1/8?
10
There are 50 items. 1/10 of them are red. How many are red?
11
Which is larger: 1/5 or 1/8?
12
Which is larger: 1/4 or 1/5?
13
There are 54 items. 1/9 of them are red. How many are red?
14
There are 36 items. 1/6 of them are red. How many are red?
15
Which is larger: 1/3 or 1/5?
16
There are 18 items. 1/6 of them are red. How many are red?
17
Which is larger: 1/3 or 1/5?
18
Which is larger: 1/4 or 1/5?

Answer Key

1. 1/32. 63. 54. 1/35. 1/36. 1/37. 1/48. 39. 1/410. 511. 1/512. 1/413. 614. 615. 1/316. 317. 1/318. 1/4

Frequently Asked Questions

How do I download this unit 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, number sense. 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 10-15 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.