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Dividing Fractions Mastery
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Dividing Fractions Mastery
Use invert-and-multiply to divide fractions. Simplify each answer and show your working where asked.
Choose and explain
1.What is 5/6 ÷ 1/3?
- 5/18
- 5/2
- 2/5
- 1/2
2.Which multiplication is equivalent to 3 ÷ 4/5?
- 3 × 5/4
- 3 × 4/5
- 3/4 × 5
- 3 ÷ 5/4
3.Calculate 3/8 ÷ 6.
- 1/16
- 1/2
- 9/8
- 2/9
4.Select every correct statement about dividing by a fraction.
- Keep the first number the same and multiply by the reciprocal of the divisor.
- The divisor is the number being divided by.
- The answer is always smaller than the starting number.
- The reciprocal of 2/7 is 7/2.
Calculate and apply
Write your steps, then give each answer in simplest form.
5.A fraction strip shows 3/4 shaded. If each group is 1/8 of the whole strip, how many groups fit in the shaded part?
6.Work out 7/9 ÷ 2/3. Simplify your answer.
7.A jug contains 5/6 L of water. Each small bottle holds 1/12 L. How many bottles can be filled?
8.A walking track is 4/5 km long. It is divided into equal sections, each 2/15 km long. How many sections are there?
9.In one or two sentences, explain why dividing by 3/5 is equivalent to multiplying by 5/3.
Challenge
10.Calculate 2 1/4 ÷ 3/8. Show how you change the mixed number and simplify your result.
2 printable pages
Page 1
Page 2
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