Compare 8/84 and 21/75
8/84 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
8/84 = 8 × 25/84 × 25 = 200/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
21/75 = 21 × 28/75 × 28 = 588/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/2100 < 588/2100 or 8/84 < 21/75
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