Compare 45/16 and 48/7
1st number: 2 13/16, 2nd number: 6 6/7
45/16 is smaller than 48/7
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,
45/16 = 45 × 7/16 × 7 = 315/112 - Likewise, for the 2nd fraction, since 7 × 16 = 112,
48/7 = 48 × 16/7 × 16 = 768/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/112 < 768/112 or 45/16 < 48/7
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