Compare 3/14 and 15/21
3/14 is smaller than 15/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
3/14 = 3 × 3/14 × 3 = 9/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
15/21 = 15 × 2/21 × 2 = 30/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/42 < 30/42 or 3/14 < 15/21
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