Compare 36/25 and 49/16
1st number: 1 11/25, 2nd number: 3 1/16
36/25 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 16 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 25 × 16 = 400,
36/25 = 36 × 16/25 × 16 = 576/400 - Likewise, for the 2nd fraction, since 16 × 25 = 400,
49/16 = 49 × 25/16 × 25 = 1225/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 576/400 < 1225/400 or 36/25 < 49/16
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