Compare 40/27 and 75/24
1st number: 1 13/27, 2nd number: 3 3/24
40/27 is smaller than 75/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 24 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Likewise, for the 2nd fraction, since 24 × 9 = 216,
75/24 = 75 × 9/24 × 9 = 675/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/216 < 675/216 or 40/27 < 75/24
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