Compare 21/27 and 24/30
21/27 is smaller than 24/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
21/27 = 21 × 10/27 × 10 = 210/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
24/30 = 24 × 9/30 × 9 = 216/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/270 < 216/270 or 21/27 < 24/30
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