Compare 35/70 and 75/81
35/70 is smaller than 75/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 81 is 5670
Next, find the equivalent fraction of both fractional numbers with denominator 5670 - For the 1st fraction, since 70 × 81 = 5670,
35/70 = 35 × 81/70 × 81 = 2835/5670 - Likewise, for the 2nd fraction, since 81 × 70 = 5670,
75/81 = 75 × 70/81 × 70 = 5250/5670 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2835/5670 < 5250/5670 or 35/70 < 75/81
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