Compare 8/35 and 45/81
8/35 is smaller than 45/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
8/35 = 8 × 81/35 × 81 = 648/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
45/81 = 45 × 35/81 × 35 = 1575/2835 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/2835 < 1575/2835 or 8/35 < 45/81
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