Compare 21/15 and 40/14
1st number: 1 6/15, 2nd number: 2 12/14
21/15 is smaller than 40/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
21/15 = 21 × 14/15 × 14 = 294/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
40/14 = 40 × 15/14 × 15 = 600/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/210 < 600/210 or 21/15 < 40/14
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