Compare 27/21 and 24/9
1st number: 1 6/21, 2nd number: 2 6/9
27/21 is smaller than 24/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
27/21 = 27 × 3/21 × 3 = 81/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
24/9 = 24 × 7/9 × 7 = 168/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/63 < 168/63 or 27/21 < 24/9
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