Compare 27/30 and 81/42
1st number: 27/30, 2nd number: 1 39/42
27/30 is smaller than 81/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
81/42 = 81 × 5/42 × 5 = 405/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/210 < 405/210 or 27/30 < 81/42
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