Compare 10/20 and 40/27
1st number: 10/20, 2nd number: 1 13/27
10/20 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
10/20 = 10 × 27/20 × 27 = 270/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
40/27 = 40 × 20/27 × 20 = 800/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/540 < 800/540 or 10/20 < 40/27
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