Compare 49/40 and 8/5
1st number: 1 9/40, 2nd number: 1 3/5
49/40 is smaller than 8/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 5 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 40 × 1 = 40,
49/40 = 49 × 1/40 × 1 = 49/40 - Likewise, for the 2nd fraction, since 5 × 8 = 40,
8/5 = 8 × 8/5 × 8 = 64/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/40 < 64/40 or 49/40 < 8/5
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