Compare 21/10 and 40/27
1st number: 2 1/10, 2nd number: 1 13/27
21/10 is greater than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
21/10 = 21 × 27/10 × 27 = 567/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
40/27 = 40 × 10/27 × 10 = 400/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/270 > 400/270 or 21/10 > 40/27
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