Compare 3/84 and 21/80
3/84 is smaller than 21/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 84 × 20 = 1680,
3/84 = 3 × 20/84 × 20 = 60/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
21/80 = 21 × 21/80 × 21 = 441/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/1680 < 441/1680 or 3/84 < 21/80
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