Compare 36/54 and 49/16
1st number: 36/54, 2nd number: 3 1/16
36/54 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 54 × 8 = 432,
36/54 = 36 × 8/54 × 8 = 288/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
49/16 = 49 × 27/16 × 27 = 1323/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/432 < 1323/432 or 36/54 < 49/16
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