Fractions
Dividing fractions
Create a dividing fractions worksheet with 10 or 15 proper-fraction problems, three difficulty ranges, exact reduced answers, and a separate answer key.
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Divide fractions and whole numbers
Practice both a fraction divided by a whole number and a whole number divided by a fraction, preserving their different meanings.
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Write the whole number over one and preserve the printed order. Multiply the dividend by the reciprocal of the divisor, simplify and check the quotient by multiplication.
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Customize this worksheetLearning objective
What this activity builds
Use operand order to decide which quantity is divided and which quantity supplies the reciprocal.
Worked example
Compare 3/5 ÷ 4 with 4 ÷ 3/5.
3/5 ÷ 4 = 3/20, while 4 ÷ 3/5 = 20/3 = 6 2/3.
The first expression shares three-fifths among four equal groups, so it multiplies by 1/4. The second asks how many three-fifths-sized groups fit into four, so it multiplies by 5/3. Reversing the operands changes the question.
Teaching notes
Make the practice count
- Read the expression in words before converting the whole number.
- Predict whether the quotient should be smaller or larger than the dividend based on the divisor.
- Use the same operands in both orders to make their different meanings explicit.
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