Compare 24/64 and 40/70
24/64 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 70 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 64 × 35 = 2240,
24/64 = 24 × 35/64 × 35 = 840/2240 - Likewise, for the 2nd fraction, since 70 × 32 = 2240,
40/70 = 40 × 32/70 × 32 = 1280/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 840/2240 < 1280/2240 or 24/64 < 40/70
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