Compare 8/27 and 21/30
8/27 is smaller than 21/30
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,
8/27 = 8 × 10/27 × 10 = 80/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
21/30 = 21 × 9/30 × 9 = 189/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/270 < 189/270 or 8/27 < 21/30
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