Compare 9/21 and 27/42
9/21 is smaller than 27/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
9/21 = 9 × 2/21 × 2 = 18/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
27/42 = 27 × 1/42 × 1 = 27/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/42 < 27/42 or 9/21 < 27/42
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