Compare 75/21 and 16/18
1st number: 3 12/21, 2nd number: 16/18
75/21 is greater than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
75/21 = 75 × 6/21 × 6 = 450/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
16/18 = 16 × 7/18 × 7 = 112/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/126 > 112/126 or 75/21 > 16/18
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