Compare 21/6 and 63/16
1st number: 3 3/6, 2nd number: 3 15/16
21/6 is smaller than 63/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 6 × 8 = 48,
21/6 = 21 × 8/6 × 8 = 168/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
63/16 = 63 × 3/16 × 3 = 189/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/48 < 189/48 or 21/6 < 63/16
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