Compare 8/27 and 10/35
8/27 is greater than 10/35
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,
10/35 = 10 × 27/35 × 27 = 270/945 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/945 > 270/945 or 8/27 > 10/35
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