Compare 27/12 and 45/16
1st number: 2 3/12, 2nd number: 2 13/16
27/12 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
27/12 = 27 × 4/12 × 4 = 108/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
45/16 = 45 × 3/16 × 3 = 135/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/48 < 135/48 or 27/12 < 45/16
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