Compare 7/18 and 40/49
7/18 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 18 × 49 = 882,
7/18 = 7 × 49/18 × 49 = 343/882 - Likewise, for the 2nd fraction, since 49 × 18 = 882,
40/49 = 40 × 18/49 × 18 = 720/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/882 < 720/882 or 7/18 < 40/49
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