Compare 40/25 and 49/9
1st number: 1 15/25, 2nd number: 5 4/9
40/25 is smaller than 49/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 25 × 9 = 225,
40/25 = 40 × 9/25 × 9 = 360/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
49/9 = 49 × 25/9 × 25 = 1225/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/225 < 1225/225 or 40/25 < 49/9
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