Math Lab

Fraction Comparer

Fractions · Class IV

Which fraction is bigger?

2
type a value
110
3
type a value
110
3
type a value
110
5
type a value
110
Live values
  • Fraction 10.6667
  • Fraction 20.6
  • Larger value0.6667
Live readout
Fraction 10.6667
Fraction 20.6
Larger value0.6667
Numerator 12
Denominator 13
Numerator 23
Denominator 25

Formulas in this lab

  • Fraction 1
    p1/q1p_1/q_1
  • Fraction 2
    p2/q2p_2/q_2
  • Larger value
    max⁡\max
Tip: Cross-multiply to compare: p1*q2 vs p2*q1!

Frequently asked questions

▶How do we compare fractions?

We compare fractions by looking at the size of each piece. 1/2 is bigger than 1/3 because halves are bigger than thirds. When two fractions have the same bottom number, the one with the bigger top number wins.

▶How do I use the fraction comparer?

Pick two fractions using the sliders. The lab draws each as a coloured bar of the same total length and tells you which is bigger. The bars make the answer easy to see.

▶When do we compare fractions?

If you ate 1/4 of a cake and your friend ate 1/3, your friend ate more. Sharing rotis, ribbons, and even time on the swing often involves comparing fractions.

▶Tip for comparing fractions

If the top numbers are the same, the fraction with the smaller bottom number is bigger. So 1/2 is bigger than 1/8. If the bottoms are the same, the bigger top number is bigger.

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