Compare 40/27 and 32/30
1st number: 1 13/27, 2nd number: 1 2/30
40/27 is greater than 32/30
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,
40/27 = 40 × 10/27 × 10 = 400/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
32/30 = 32 × 9/30 × 9 = 288/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/270 > 288/270 or 40/27 > 32/30
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