Compare 2/75 and 27/84
2/75 is smaller than 27/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
2/75 = 2 × 28/75 × 28 = 56/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
27/84 = 27 × 25/84 × 25 = 675/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/2100 < 675/2100 or 2/75 < 27/84
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