Compare 30/10 and 42/7
1st number: 3 0/10, 2nd number: 6 0/7
30/10 is smaller than 42/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 7 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
30/10 = 30 × 7/10 × 7 = 210/70 - Likewise, for the 2nd fraction, since 7 × 10 = 70,
42/7 = 42 × 10/7 × 10 = 420/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/70 < 420/70 or 30/10 < 42/7
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