Compare 7/60 and 42/81
7/60 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 81 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 60 × 27 = 1620,
7/60 = 7 × 27/60 × 27 = 189/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
42/81 = 42 × 20/81 × 20 = 840/1620 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/1620 < 840/1620 or 7/60 < 42/81
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