Compare 21/2 and 75/7
1st number: 10 1/2, 2nd number: 10 5/7
21/2 is smaller than 75/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 7 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
21/2 = 21 × 7/2 × 7 = 147/14 - Likewise, for the 2nd fraction, since 7 × 2 = 14,
75/7 = 75 × 2/7 × 2 = 150/14 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/14 < 150/14 or 21/2 < 75/7
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