Compare 49/16 and 45/12
1st number: 3 1/16, 2nd number: 3 9/12
49/16 is smaller than 45/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 12 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 16 × 3 = 48,
49/16 = 49 × 3/16 × 3 = 147/48 - Likewise, for the 2nd fraction, since 12 × 4 = 48,
45/12 = 45 × 4/12 × 4 = 180/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/48 < 180/48 or 49/16 < 45/12
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