Compare 24/27 and 40/6
1st number: 24/27, 2nd number: 6 4/6
24/27 is smaller than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 6 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
24/27 = 24 × 2/27 × 2 = 48/54 - Likewise, for the 2nd fraction, since 6 × 9 = 54,
40/6 = 40 × 9/6 × 9 = 360/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/54 < 360/54 or 24/27 < 40/6
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