Compare 1/49 and 49/40
1st number: 1/49, 2nd number: 1 9/40
1/49 is smaller than 49/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
1/49 = 1 × 40/49 × 40 = 40/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
49/40 = 49 × 49/40 × 49 = 2401/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/1960 < 2401/1960 or 1/49 < 49/40
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