Compare 30/7 and 42/81
1st number: 4 2/7, 2nd number: 42/81
30/7 is greater than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 7 × 81 = 567,
30/7 = 30 × 81/7 × 81 = 2430/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
42/81 = 42 × 7/81 × 7 = 294/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2430/567 > 294/567 or 30/7 > 42/81
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