Compare 14/56 and 10/30
14/56 is smaller than 10/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 30 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
14/56 = 14 × 15/56 × 15 = 210/840 - Likewise, for the 2nd fraction, since 30 × 28 = 840,
10/30 = 10 × 28/30 × 28 = 280/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/840 < 280/840 or 14/56 < 10/30
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