Compare 5/75 and 35/56
5/75 is smaller than 35/56
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,
5/75 = 5 × 56/75 × 56 = 280/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
35/56 = 35 × 75/56 × 75 = 2625/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/4200 < 2625/4200 or 5/75 < 35/56
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