Compare 2/15 and 49/56
2/15 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 15 × 56 = 840,
2/15 = 2 × 56/15 × 56 = 112/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/840 < 735/840 or 2/15 < 49/56
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