Let’s solve each fraction equivalence problem step by step.
We are told that we multiply both the numerator and denominator of a fraction by the same number to get an equivalent fraction. The arrows show what we’re multiplying by — sometimes it’s given, sometimes we have to figure it out.
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Top Left:
Start with 1/2
Multiply top and bottom by 5 → so new fraction is (1×5)/(2×5) = 5/10
So blanks: top right box = 5, bottom right box = 10
Check: 1/2 = 5/10? Yes, because 5÷5=1 and 10÷5=2.
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Top Right:
Start with 7/4
End with 28/16
What did we multiply by?
Look at numerators: 7 × ? = 28 → 28 ÷ 7 = 4
Denominators: 4 × ? = 16 → 16 ÷ 4 = 4
So we multiplied by 4 in both places.
Blanks: top multiplier = 4, bottom multiplier = 4
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Bottom Left:
Start with 3/8
Multiply top by 6 → 3×6 = 18
Bottom becomes 48 → so 8 × ? = 48 → 48 ÷ 8 = 6
So we also multiply bottom by 6.
Blanks: top right = 18, bottom multiplier = 6
Check: 3/8 = 18/48? Divide 18 and 48 by 6 → 3/8 ✔️
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Bottom Right:
Start with 7/9
End with 35/?
Numerator: 7 × ? = 35 → 35 ÷ 7 = 5
So we multiply denominator by 5 too: 9 × 5 = 45
Blanks: top multiplier = 5, bottom right = 45, bottom multiplier = 5
Check: 7/9 = 35/45? Divide 35 and 45 by 5 → 7/9 ✔️
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Final Answer:
Top Left: 5 over 10
Top Right: multiply by 4 (both boxes)
Bottom Left: 18 over 48, multiply bottom by 6
Bottom Right: multiply by 5 (top), 45 (bottom right), multiply bottom by 5
Written as filled-in values:
- Top left: numerator blank = 5, denominator blank = 10
- Top right: both multiplier blanks = 4
- Bottom left: numerator blank = 18, bottom multiplier blank = 6
- Bottom right: top multiplier blank = 5, denominator blank = 45, bottom multiplier blank = 5
Parent Tip: Review the logic above to help your child master the concept of worksheet equivalent fractions.
