Reciprocals and Dividing by a Fraction
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Reciprocals and Dividing by a Fraction
Reciprocals worksheet for Grade 8: find reciprocals and their product, divide whole numbers and fractions by fractions by multiplying by the reciprocal, multiply by a form of 1, place the sign of a fraction, and multiply decimals as fractions. With an answer key.
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- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Goes with
- Dividing Mixed Numbers
- Printing
- Black and white
- Related curriculum
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Divide a fraction or a mixed number by a fraction, with models first and then by multiplying by the reciprocal of the divisor, and simplify the answer.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child ask the question in words: "How many 1/4s fit into 3?"
- Use the models on the sheet, or a drawing, for the first problems before using any rule.
- Check each answer by multiplying it back: the quotient times the divisor should give the starting number.
Common mistakes
- Flipping the first fraction instead of the second. Keep the first, change ÷ to ×, flip the divisor.
- Expecting division to give a smaller answer. Dividing 3 by 1/4 gives 12: there are 12 fourths in 3.
- Mixing up 1/4 ÷ 3 and 3 ÷ 1/4. Say each in words: one is a fourth shared by 3; the other is how many fourths fit in 3.
