Compare 9/40 and 40/49
9/40 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
9/40 = 9 × 49/40 × 49 = 441/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/1960 < 1600/1960 or 9/40 < 40/49
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