Fractions with Numbers

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Date:

Part 1: Fractions of wholes and sets

Remember: A fraction names equal parts of a whole or a set. The denominator tells how many equal parts there are altogether. The numerator tells how many parts we are talking about.

1. In the fraction 3/5, what is the numerator? What is the denominator?

2. Four equal parts are shown. Two parts are shaded: ■ ■ □ □. Write the fraction shaded.

3. Draw a rectangle split into 4 equal parts. Shade 1 part. Write the fraction you shaded.

4. There are 8 counters: ● ● ● ● ● ● ● ●. What is 1/4 of 8? Show equal groups or explain your thinking.

5. Find each fraction of the number.

a) 1/2 of 6 = ________

b) 1/3 of 6 = ________

c) 1/4 of 8 = ________

6. Circle the greater fraction: 1/2 or 1/4.

1/2

1/4

Part 2: Show, explain and solve

7. Complete the number line. Mark and label 1/2 and 1/4.

0 ─────────────── 1

8. Maia has 12 grapes. She shares them equally into 3 groups. How many grapes are in 1 group? What is 1/3 of 12?

9. A class has 16 books. 1/4 of the books are storybooks. How many storybooks are there? Show a number sentence.

10. Explain what 2/4 means. Use the words equal parts, whole and shaded.

11. Show 2/3 of 6 counters. Draw or write the equal groups, then complete the number sentence: 2/3 of 6 = ________.

12. Final challenge: 3/4 of 8 children choose apples. How many children choose apples? Explain how the denominator and numerator helped you.

Answer key and teacher notes

Answers:

1. Numerator: 3. Denominator: 5.

2. 2/4.

3. Any rectangle split into 4 equal parts with 1 part shaded; answer 1/4.

4. 1/4 of 8 = 2. Equal groups: 8 ÷ 4 = 2.

5. a) 3 b) 2 c) 2.

6. 1/2.

7. 1/4 is one quarter of the way from 0 to 1; 1/2 is halfway.

8. 4 grapes; 1/3 of 12 = 4.

9. 4 storybooks; 16 ÷ 4 = 4.

10. 2/4 means 2 of 4 equal parts of the whole are shaded or being described.

11. 4; split 6 into 3 equal groups of 2 and take 2 groups.

12. 6 children; 8 ÷ 4 = 2, then 3 × 2 = 6.

Teacher notes: This worksheet supports NZ Te Mātaiaho rational-number learning by representing fractions as parts of sets, regions, measurements and number lines; reading, writing and representing fractions; and comparing simple fractions where appropriate. Alignment codes: NZ-TMA-MATHEMATIC-Y0-10-number-032-DOC139 and NZ-TMA-MATHEMATIC-Y0-10-number-035-DOC139.