Compare 49/16 and 24/7
1st number: 3 1/16, 2nd number: 3 3/7
49/16 is smaller than 24/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 7 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
49/16 = 49 × 7/16 × 7 = 343/112 - Likewise, for the 2nd fraction, since 7 × 16 = 112,
24/7 = 24 × 16/7 × 16 = 384/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/112 < 384/112 or 49/16 < 24/7
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