Compare 40/3 and 21/27
1st number: 13 1/3, 2nd number: 21/27
40/3 is greater than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
40/3 = 40 × 9/3 × 9 = 360/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/27 > 21/27 or 40/3 > 21/27
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