Compare 42/90 and 30/56
42/90 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 90 × 28 = 2520,
42/90 = 42 × 28/90 × 28 = 1176/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
30/56 = 30 × 45/56 × 45 = 1350/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1176/2520 < 1350/2520 or 42/90 < 30/56
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