Compare 20/75 and 45/56
20/75 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
20/75 = 20 × 56/75 × 56 = 1120/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
45/56 = 45 × 75/56 × 75 = 3375/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/4200 < 3375/4200 or 20/75 < 45/56
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