Compare 21/7 and 40/36
1st number: 3 0/7, 2nd number: 1 4/36
21/7 is greater than 40/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 7 × 36 = 252,
21/7 = 21 × 36/7 × 36 = 756/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
40/36 = 40 × 7/36 × 7 = 280/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/252 > 280/252 or 21/7 > 40/36
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