Compare 3/8 and 56/75
3/8 is smaller than 56/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
3/8 = 3 × 75/8 × 75 = 225/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
56/75 = 56 × 8/75 × 8 = 448/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/600 < 448/600 or 3/8 < 56/75
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