Compare 40/18 and 36/21
1st number: 2 4/18, 2nd number: 1 15/21
40/18 is greater than 36/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
36/21 = 36 × 6/21 × 6 = 216/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/126 > 216/126 or 40/18 > 36/21
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