Compare 6/3 and 42/14
1st number: 2 0/3, 2nd number: 3 0/14
6/3 is smaller than 42/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
6/3 = 6 × 14/3 × 14 = 84/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
42/14 = 42 × 3/14 × 3 = 126/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/42 < 126/42 or 6/3 < 42/14
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