Fraction Circles Practice

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Part 1: Build and describe fraction circles

Remember: the denominator tells how many equal parts make one whole. The numerator tells how many parts are selected. Use coloured pencils and your fraction circles where helpful.

1. In the fraction 3/4, circle the numerator and underline the denominator. Complete the sentences.

The numerator is ______ because I have ______ selected parts.

The denominator is ______ because the whole is divided into ______ equal parts.

2. Draw fraction circles to show each fraction. Shade the selected parts. Label each circle as a proper fraction, one whole, or an improper fraction.

a) 3/4 b) 4/4 c) 5/4

3. Draw and shade one fraction circle for each denominator: halves, thirds, quarters, fifths, sixths, eighths and tenths. Label the denominator on each circle.

4. Complete the statements.

a) A proper fraction has a numerator ______ than its denominator and is ______ than one.

b) An improper fraction has a numerator ______ than or equal to its denominator and is ______ than or equal to one.

c) 7/3 = ______ whole and ______ third. As a mixed numeral, it is ______.

Part 2: Match, compare and solve

5. Use fraction circles to help you match each equivalent fraction group. Draw lines between the matching items.

A. 1/2 = 2/4 = 4/8

B. 1/3 = 2/6

C. 2/5 = 4/10

1. Two fifths and four tenths

2. One half, two quarters and four eighths

3. One third and two sixths

Draw one pair of equivalent fraction circles below.

6. Write <, > or =.

a) 3/4 ______ 2/4 b) 5/6 ______ 1 c) 2/5 ______ 4/10

d) 7/8 ______ 3/4 e) 5/4 ______ 1

7. Number line task: Mark and label 3/4, 1, 5/4 and 7/3 on the number line from 0 to 3. Use fraction circles to check your positions.

0 1 2 3

|--------------------|--------------------|--------------------|

8. Mia has 3/4 of a pizza. She eats 1/4 of the pizza. What fraction of the pizza is left? Show your thinking with fraction circles.

9. A cake is cut into 10 equal pieces. Arlo serves 4 pieces and then serves another 2 pieces. What fraction of the cake has been served? Write an equivalent fraction if you can.

10. Exit task: Draw fraction circles to show 6/5. Classify it as proper or improper and write its mixed-numeral form. Explain how the numerator and denominator helped you decide.

11. Extension challenge: Make an improper fraction greater than one using quarters. Draw the circles, write the fraction and convert it to a mixed numeral.

Answer key

1. Numerator: 3; selected parts: 3. Denominator: 4; equal parts: 4.

2. a) 3/4 is a proper fraction. b) 4/4 is one whole. c) 5/4 is an improper fraction, equal to 1 1/4.

3. Each circle should be divided into the named number of equal parts. The correct number of selected parts should be shaded and the denominator labelled.

4. a) less; less. b) greater; greater. c) 2 wholes and 1 third; 2 1/3.

5. A–2, B–3, C–1.

6. a) > b) < c) = d) > e) >

7. 3/4 is between 0 and 1; 1 is at one whole; 5/4 is one quarter after 1; 7/3 is one third after 2.

8. 2/4, which is equivalent to 1/2.

9. 6/10, which is equivalent to 3/5.

10. 6/5 is improper because the numerator is greater than the denominator. It equals 1 1/5.

11. Answers may vary. Example: 5/4 = 1 1/4.