Compare 30/56 and 72/84
30/56 is smaller than 72/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 84 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
30/56 = 30 × 3/56 × 3 = 90/168 - Likewise, for the 2nd fraction, since 84 × 2 = 168,
72/84 = 72 × 2/84 × 2 = 144/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/168 < 144/168 or 30/56 < 72/84
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