Compare 6/60 and 30/56
6/60 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 60 × 14 = 840,
6/60 = 6 × 14/60 × 14 = 84/840 - 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
- 84/840 < 450/840 or 6/60 < 30/56
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