Compare 30/72 and 42/49
30/72 is smaller than 42/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 49 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 72 × 49 = 3528,
30/72 = 30 × 49/72 × 49 = 1470/3528 - Likewise, for the 2nd fraction, since 49 × 72 = 3528,
42/49 = 42 × 72/49 × 72 = 3024/3528 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/3528 < 3024/3528 or 30/72 < 42/49
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