Compare 6/84 and 35/75
6/84 is smaller than 35/75
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,
6/84 = 6 × 25/84 × 25 = 150/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
35/75 = 35 × 28/75 × 28 = 980/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/2100 < 980/2100 or 6/84 < 35/75
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