Compare 12/28 and 40/24
1st number: 12/28, 2nd number: 1 16/24
12/28 is smaller than 40/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 28 × 6 = 168,
12/28 = 12 × 6/28 × 6 = 72/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/168 < 280/168 or 12/28 < 40/24
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