Compare 14/24 and 24/28
14/24 is smaller than 24/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 28 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
14/24 = 14 × 7/24 × 7 = 98/168 - Likewise, for the 2nd fraction, since 28 × 6 = 168,
24/28 = 24 × 6/28 × 6 = 144/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/168 < 144/168 or 14/24 < 24/28
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