Compare 2/7 and 30/81
2/7 is smaller than 30/81
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,
2/7 = 2 × 81/7 × 81 = 162/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
30/81 = 30 × 7/81 × 7 = 210/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/567 < 210/567 or 2/7 < 30/81
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