Compare 21/7 and 75/18
1st number: 3 0/7, 2nd number: 4 3/18
21/7 is smaller than 75/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
21/7 = 21 × 18/7 × 18 = 378/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/126 < 525/126 or 21/7 < 75/18
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