Compare 3/14 and 20/42
3/14 is smaller than 20/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 42 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 42 × 1 = 42,
20/42 = 20 × 1/42 × 1 = 20/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/42 < 20/42 or 3/14 < 20/42
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