Compare 6/25 and 48/49
6/25 is smaller than 48/49
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,
6/25 = 6 × 49/25 × 49 = 294/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
48/49 = 48 × 25/49 × 25 = 1200/1225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1225 < 1200/1225 or 6/25 < 48/49
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