Compare 30/6 and 84/14
1st number: 5 0/6, 2nd number: 6 0/14
30/6 is smaller than 84/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
30/6 = 30 × 7/6 × 7 = 210/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
84/14 = 84 × 3/14 × 3 = 252/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/42 < 252/42 or 30/6 < 84/14
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