Compare 16/56 and 40/75
16/56 is smaller than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 56 × 75 = 4200,
16/56 = 16 × 75/56 × 75 = 1200/4200 - Likewise, for the 2nd fraction, since 75 × 56 = 4200,
40/75 = 40 × 56/75 × 56 = 2240/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/4200 < 2240/4200 or 16/56 < 40/75
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