Fractions · Ages 9–10

Fractions greater than 1: improper fractions and mixed numbers worksheet

Part of: Improper fractions, mixed numbers and same denominators

In the print window, choose “Save as PDF” to download it. The answers print on the last page.

Fractions · Ages 9–10

Numsprite
numsprite.com

Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Each rectangle is one whole, cut into 7 equal parts. The shaded part is 7, or as a mixed number 7.
Fill in each blank
Answer:
2.1010 =
Answer:
3.Each rectangle is one whole, cut into 6 equal parts. The shaded part is 6, or as a mixed number 6.
Fill in each blank
Answer:
4.1 56 = 6
Answer:
5.Write 389 as a mixed number: every 9 parts make 1. 389 = 9
Fill in each blank
Answer:
6.Each rectangle is 1, cut into 5 equal parts. The shaded part is 5, that is 5.
Fill in each blank
Answer:
7.4 13 = 3
Answer:
8.Write 87 as a mixed number: every 7 parts make 1. 87 = 7
Fill in each blank
Answer:

13.May has 4 36 cakes and Ka-lok has 286 cakes. Who has more?
- A. Ka-lok
- B. One is a mixed number, so they can't be compared
- C. May
- D. They have the same
Choose the right answer
Working:
Answer:
14.Each pizza is cut into 6 equal slices. Ming puts 4 16 pizzas into a box of compartments, one slice in each. How many compartments are needed?
Working:
Answer:
15.Each cake is cut into 6 equal slices. After the party 31 slices are left, which is 6 cakes.
Fill in each blank
Working:
Answer:
16.Chi-keung has 3 36 cakes and Tsz-ching has 196 cakes. Who has more?
- A. Tsz-ching
- B. One is a mixed number, so they can't be compared
- C. They have the same
- D. Chi-keung
Choose the right answer
Working:
Answer:
17.Each pizza is cut into 6 equal slices. May puts 2 36 pizzas into a box of compartments, one slice in each. How many compartments are needed?
Working:
Answer:
18.Each cake is cut into 5 equal slices. After the party 23 slices are left, which is 5 cakes.
Fill in each blank
Working:
Answer:

Show the answers and working

Fractions greater than 1: improper fractions and mixed numbers worksheet: Answers and working

1. 13, 1, 6
One rectangle is 7 parts. Count all the shaded parts, then see how many are left once one whole rectangle is made.
7 + 6 = 13 parts are shaded, 137; 7 of them make one whole rectangle and 6 are left: 1 67.
2. 1
Every 10 parts make one whole. How many lots of 10 are there in 10?
Every 10 parts make one whole, and 10 parts are 1 lots of 10: 1010 = 1.
3. 7, 1, 1
One rectangle is 6 parts. Count all the shaded parts, then see how many are left once one whole rectangle is made.
6 + 1 = 7 parts are shaded, 76; 6 of them make one whole rectangle and 1 are left: 1 16.
4. 11
Each whole is 6 parts. First work out how many parts 1 wholes make.
1 wholes are 1 × 6 = 6 parts, and 5 more: 116.
5. 4, 2
How many lots of 9 fit into 38? The parts left over give the numerator.
38 parts make 4 lots of 9, with 2 left: 4 29.
6. 2, 2, 12
First see how many rectangles are fully shaded, then count the parts shaded in the last one.
Two rectangles are full and the third has 2 parts: 2 25; altogether 5 + 5 + 2 = 12 parts, 125.
7. 13
Each whole is 3 parts. First work out how many parts 4 wholes make.
4 wholes are 4 × 3 = 12 parts, and 1 more: 133.
8. 1, 1
How many lots of 7 fit into 8? The parts left over give the numerator.
8 parts make 1 lots of 7, with 1 left: 1 17.

9. False
1 = 99. Compare the numerator, 4, with the denominator, 9: which is bigger?
1 = 99. A numerator greater than the denominator means more than 1; a smaller numerator means less than 1.
10. True
1 = 99. Compare the numerator, 15, with the denominator, 9: which is bigger?
1 = 99. A numerator greater than the denominator means more than 1; a smaller numerator means less than 1.
11. B
Look for pictures with one rectangle fully shaded, then count how many parts the other is cut into and how many are shaded.
1 56 is one full rectangle, and one cut into 6 equal parts with 5 shaded.
12. A
Look for pictures with one rectangle fully shaded, then count how many parts the other is cut into and how many are shaded.
1 47 is one full rectangle, and one cut into 7 equal parts with 4 shaded.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. A. Ka-lok
Turn 4 36 into an improper fraction first: with both in 6ths, they're easy to compare.
4 36 = 276. Same denominator, so compare the numerators, 27 and 28.
14. 25 compartments
Each pizza has 6 slices. First work out how many slices 4 whole pizzas make.
4 pizzas are 4 × 6 slices, and 1 more: 25 slices.
15. 5, 1
Every 6 slices make a whole cake. How many whole cakes can 31 slices make?
Every 6 slices make a cake: 31 slices make 5 cakes with 1 left, 5 16 cakes.
16. D. Chi-keung
Turn 3 36 into an improper fraction first: with both in 6ths, they're easy to compare.
3 36 = 216. Same denominator, so compare the numerators, 21 and 19.
17. 15 compartments
Each pizza has 6 slices. First work out how many slices 2 whole pizzas make.
2 pizzas are 2 × 6 slices, and 3 more: 15 slices.
18. 4, 3
Every 5 slices make a whole cake. How many whole cakes can 23 slices make?
Every 5 slices make a cake: 23 slices make 4 cakes with 3 left, 4 35 cakes.

Numsprite · numsprite.com/en/worksheets/improper-fractions-and-mixed-numbers/fractions-greater-than-1