Compare 36/25 and 49/8
1st number: 1 11/25, 2nd number: 6 1/8
36/25 is smaller than 49/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 8 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 25 × 8 = 200,
36/25 = 36 × 8/25 × 8 = 288/200 - Likewise, for the 2nd fraction, since 8 × 25 = 200,
49/8 = 49 × 25/8 × 25 = 1225/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/200 < 1225/200 or 36/25 < 49/8
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