Compare 7/3 and 84/21
1st number: 2 1/3, 2nd number: 4 0/21
7/3 is smaller than 84/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 21 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
7/3 = 7 × 7/3 × 7 = 49/21 - Likewise, for the 2nd fraction, since 21 × 1 = 21,
84/21 = 84 × 1/21 × 1 = 84/21 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/21 < 84/21 or 7/3 < 84/21
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