Compare 16/6 and 84/21
1st number: 2 4/6, 2nd number: 4 0/21
16/6 is smaller than 84/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
16/6 = 16 × 7/6 × 7 = 112/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
84/21 = 84 × 2/21 × 2 = 168/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/42 < 168/42 or 16/6 < 84/21
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