Compare 75/32 and 48/14
1st number: 2 11/32, 2nd number: 3 6/14
75/32 is smaller than 48/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 14 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
75/32 = 75 × 7/32 × 7 = 525/224 - Likewise, for the 2nd fraction, since 14 × 16 = 224,
48/14 = 48 × 16/14 × 16 = 768/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/224 < 768/224 or 75/32 < 48/14
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