Compare 10/27 and 10/20
10/27 is smaller than 10/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
10/27 = 10 × 20/27 × 20 = 200/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
10/20 = 10 × 27/20 × 27 = 270/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/540 < 270/540 or 10/27 < 10/20
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