Compare 21/7 and 42/10
1st number: 3 0/7, 2nd number: 4 2/10
21/7 is smaller than 42/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 7 × 10 = 70,
21/7 = 21 × 10/7 × 10 = 210/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
42/10 = 42 × 7/10 × 7 = 294/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/70 < 294/70 or 21/7 < 42/10
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