Compare 6/27 and 42/45
6/27 is smaller than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
6/27 = 6 × 5/27 × 5 = 30/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
42/45 = 42 × 3/45 × 3 = 126/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/135 < 126/135 or 6/27 < 42/45
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