Compare 7/15 and 30/56
7/15 is smaller than 30/56
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,
7/15 = 7 × 56/15 × 56 = 392/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
30/56 = 30 × 15/56 × 15 = 450/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/840 < 450/840 or 7/15 < 30/56
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