Compare 6/63 and 75/96
6/63 is smaller than 75/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 96 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 63 × 32 = 2016,
6/63 = 6 × 32/63 × 32 = 192/2016 - Likewise, for the 2nd fraction, since 96 × 21 = 2016,
75/96 = 75 × 21/96 × 21 = 1575/2016 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/2016 < 1575/2016 or 6/63 < 75/96
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