Compare 7/30 and 7/56
7/30 is greater than 7/56
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,
7/30 = 7 × 28/30 × 28 = 196/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
7/56 = 7 × 15/56 × 15 = 105/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/840 > 105/840 or 7/30 > 7/56
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