Compare 8/27 and 24/35
8/27 is smaller than 24/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
8/27 = 8 × 35/27 × 35 = 280/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
24/35 = 24 × 27/35 × 27 = 648/945 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/945 < 648/945 or 8/27 < 24/35
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