Compare 3/49 and 4/40
3/49 is smaller than 4/40
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,
3/49 = 3 × 40/49 × 40 = 120/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
4/40 = 4 × 49/40 × 49 = 196/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/1960 < 196/1960 or 3/49 < 4/40
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