Compare 42/75 and 56/84
42/75 is smaller than 56/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
56/84 = 56 × 25/84 × 25 = 1400/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1176/2100 < 1400/2100 or 42/75 < 56/84
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Related: 84/75 and 56/84