Compare 42/75 and 27/30
42/75 is smaller than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
42/75 = 42 × 2/75 × 2 = 84/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
27/30 = 27 × 5/30 × 5 = 135/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/150 < 135/150 or 42/75 < 27/30
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