Compare 6/16 and 63/75
6/16 is smaller than 63/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 16 × 75 = 1200,
6/16 = 6 × 75/16 × 75 = 450/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
63/75 = 63 × 16/75 × 16 = 1008/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/1200 < 1008/1200 or 6/16 < 63/75
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