Compare 21/35 and 40/49
21/35 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
21/35 = 21 × 7/35 × 7 = 147/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
40/49 = 40 × 5/49 × 5 = 200/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/245 < 200/245 or 21/35 < 40/49
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