Compare 4/30 and 12/56
4/30 is smaller than 12/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
4/30 = 4 × 28/30 × 28 = 112/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
12/56 = 12 × 15/56 × 15 = 180/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/840 < 180/840 or 4/30 < 12/56
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