Compare 10/27 and 20/30
10/27 is smaller than 20/30
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,
10/27 = 10 × 10/27 × 10 = 100/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
20/30 = 20 × 9/30 × 9 = 180/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/270 < 180/270 or 10/27 < 20/30
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