Improper Fractions Activity Sheet PDF

Summary

This worksheet provides practice problems for converting improper fractions to mixed numbers and vice versa. It also includes problems involving real-world scenarios, such as dividing 73 tennis balls into baskets.

Full Transcript

Improper Fractions 1. Circle any mixed number that is equivalent to the improper fraction. 13 2 1 1 2 2 3 2 3 4 3 5 3 4 3...

Improper Fractions 1. Circle any mixed number that is equivalent to the improper fraction. 13 2 1 1 2 2 3 2 3 4 3 5 3 4 3 2 3 14 2 1 1 1 1 4 3 4 4 2 3 2 4 4 2 2 16 4 2 3 6 8 10 1 10 1 5 1 5 1 10 1 10 20 2 2 2 1 1 6 2 3 3 6 3 3 2 3 3 3 19 1 2 4 3 1 4 5 4 5 3 5 3 5 5 5 5 2. Write the following improper fractions as mixed numbers. a) 22 = b) 14 = c) 23 = d) 34 = e) 21 = 3 5 10 10 5 5 16 19 = i) 31 = j) 30 = f) = g) = h) 2 3 4 4 6 21 17 19 22 o) 27 = k) = l) = m) = n) = 6 8 7 9 12 3. Twenty-seven children sit at tables of 6, filling the tables where possible. Express how many tables are filled using a mixed number.  4. A teacher asks 2 children to sort 73 tennis balls into baskets of 10 balls, filling the baskets where possible. Express how many baskets are filled using a mixed number.  5. A pizza truck sells pizza slices. Each slice is one quarter of a pizza. At the end of the day, the pizza seller works out how many pizzas he has left. On the day he has 9 slices. How many pizzas does he have left?  6. Write some of your own questions for which the answer is a mixed number.  Page 1 of 2 visit twinkl.com Improper Fractions 7. Write the proper fractions and mixed numbers represented by the shapes below. Improper Mixed Fraction Number a) b) c) d) e) f) Page 2 of 2 visit twinkl.com Improper Fractions Answers 1. Circle any mixed number that is equivalent to the improper fraction. 13 2 1 1 2 2 3 2 3 4 3 5 3 4 3 2 3 14 2 1 1 1 1 4 3 4 4 2 3 2 4 4 2 2 16 4 2 3 6 8 10 1 10 1 5 1 5 1 10 1 10 20 2 2 2 1 1 6 2 3 3 6 3 3 2 3 3 3 19 1 2 4 3 1 4 5 4 5 3 5 3 5 5 5 5 2. Write the following improper fractions as mixed numbers. 1 4 3 4 1 a) 22 3 = 7 3 b) 14 5 = 2 5 c) 23 = 10 2 10 d) 34 10 = 3 10 e) 21 5 = 4 5 f) 5 2 = 2 1 2 g) 16 3 = 5 1 3 h) 19 4 = 4 3 4 i) 31 4 = 7 3 4 j) 30 = 6 5 1 1 5 4 3 k) 21 6 = 3 2 l) 17 8 = 2 8 m) 19 7 = 2 7 n) 22 9 = 2 9 o) 27 12 = 2 12 3. Twenty-seven children sit at tables of 6, filling the tables where possible. Express how many tables are filled using a mixed number. 1 3  4 6 or 4 2 4. A teacher asks 2 children to sort 73 tennis balls into baskets of 10 balls, filling the baskets where possible. Express how many baskets are filled using a mixed number. 3  7 10 5. A pizza truck sells pizza slices. Each slice is one quarter of a pizza. At the end of the day, the pizza seller works out how many pizzas he has left. On the day he has 9 slices. How many pizzas does he have left? 1  2 4 6. Write some of your own questions for which the answer is a mixed number. Answers will vary Page 1 of 2 visit twinkl.com Improper Fractions Answers 7. Write the proper fractions and mixed numbers represented by the shapes below. Improper Mixed Fraction Number 15 a) 4 3 3 4 b) 7 2 3 21 c) 16 3 5 31 d) 13 5 2 3 5 e) 19 8 2 83 f) 19 5 3 45 Page 2 of 2 visit twinkl.com

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