Compare 7/40 and 12/49
7/40 is smaller than 12/49
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,
7/40 = 7 × 49/40 × 49 = 343/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
12/49 = 12 × 40/49 × 40 = 480/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/1960 < 480/1960 or 7/40 < 12/49
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