Compare 56/15 and 30/7
1st number: 3 11/15, 2nd number: 4 2/7
56/15 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 7 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
56/15 = 56 × 7/15 × 7 = 392/105 - Likewise, for the 2nd fraction, since 7 × 15 = 105,
30/7 = 30 × 15/7 × 15 = 450/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/105 < 450/105 or 56/15 < 30/7
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