Compare 24/25 and 7/48
24/25 is greater than 7/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 25 × 48 = 1200,
24/25 = 24 × 48/25 × 48 = 1152/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
7/48 = 7 × 25/48 × 25 = 175/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1152/1200 > 175/1200 or 24/25 > 7/48
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