Compare 14/25 and 21/49
14/25 is greater than 21/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
14/25 = 14 × 49/25 × 49 = 686/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
21/49 = 21 × 25/49 × 25 = 525/1225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 686/1225 > 525/1225 or 14/25 > 21/49
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