Compare 4/7 and 49/56
4/7 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 56 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
4/7 = 4 × 8/7 × 8 = 32/56 - Likewise, for the 2nd fraction, since 56 × 1 = 56,
49/56 = 49 × 1/56 × 1 = 49/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/56 < 49/56 or 4/7 < 49/56
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