Compare 10/7 and 75/16
1st number: 1 3/7, 2nd number: 4 11/16
10/7 is smaller than 75/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 7 × 16 = 112,
10/7 = 10 × 16/7 × 16 = 160/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
75/16 = 75 × 7/16 × 7 = 525/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/112 < 525/112 or 10/7 < 75/16
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