Compare 9/21 and 60/81
9/21 is smaller than 60/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 21 × 27 = 567,
9/21 = 9 × 27/21 × 27 = 243/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
60/81 = 60 × 7/81 × 7 = 420/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/567 < 420/567 or 9/21 < 60/81
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