Compare 21/6 and 40/15
1st number: 3 3/6, 2nd number: 2 10/15
21/6 is greater than 40/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 6 × 5 = 30,
21/6 = 21 × 5/6 × 5 = 105/30 - Likewise, for the 2nd fraction, since 15 × 2 = 30,
40/15 = 40 × 2/15 × 2 = 80/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/30 > 80/30 or 21/6 > 40/15
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