Compare 10/16 and 75/7
1st number: 10/16, 2nd number: 10 5/7
10/16 is smaller than 75/7
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,
10/16 = 10 × 7/16 × 7 = 70/112 - Likewise, for the 2nd fraction, since 7 × 16 = 112,
75/7 = 75 × 16/7 × 16 = 1200/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/112 < 1200/112 or 10/16 < 75/7
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