Fractions
Equivalent fractions
Print an equivalent fractions worksheet with 10 rows of seven equal fractions, six one-part blanks per row, four denominator sets, and a separate answer key.
Preview and downloadFractions practice
Equivalent fractions with missing numbers
Find a missing numerator or denominator that makes two fraction values equal, including blanks whose exact value is fractional.
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Identify the missing numerator or denominator. Use equal scaling or the equality of cross-products to find its exact value, then substitute it back into the original pair. Do not round a fractional blank.
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What this activity builds
Use equality and multiplicative relationships to solve a missing part of a fraction without assuming the answer is a whole number.
Worked example
Find the missing value in 3/8 = □/12.
□ = 9/2, or 4 1/2.
The missing numerator is 12 × 3/8 = 36/8 = 9/2. Substituting gives (9/2) ÷ 12 = 3/8. The scale factor from 8 to 12 is 3/2, so an integer numerator is not required.
Teaching notes
Make the practice count
- Check where the blank appears before applying a remembered scale factor.
- Begin with integer-scale examples, then discuss why some valid equalities require a rational missing value.
- Use substitution as the final check so a reversed multiplier does not pass unnoticed.
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