Compare 14/24 and 9/21
14/24 is greater than 9/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 21 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 21 × 8 = 168,
9/21 = 9 × 8/21 × 8 = 72/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/168 > 72/168 or 14/24 > 9/21
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