Compare 75/7 and 40/16
1st number: 10 5/7, 2nd number: 2 8/16
75/7 is greater than 40/16
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,
75/7 = 75 × 16/7 × 16 = 1200/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
40/16 = 40 × 7/16 × 7 = 280/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/112 > 280/112 or 75/7 > 40/16
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