Compare 10/63 and 49/60
10/63 is smaller than 49/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 60 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 63 × 20 = 1260,
10/63 = 10 × 20/63 × 20 = 200/1260 - Likewise, for the 2nd fraction, since 60 × 21 = 1260,
49/60 = 49 × 21/60 × 21 = 1029/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/1260 < 1029/1260 or 10/63 < 49/60
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