Compare 40/75 and 56/80
40/75 is smaller than 56/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 80 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 80 × 15 = 1200,
56/80 = 56 × 15/80 × 15 = 840/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1200 < 840/1200 or 40/75 < 56/80
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