Compare 8/36 and 18/35
8/36 is smaller than 18/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 35 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 36 × 35 = 1260,
8/36 = 8 × 35/36 × 35 = 280/1260 - Likewise, for the 2nd fraction, since 35 × 36 = 1260,
18/35 = 18 × 36/35 × 36 = 648/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/1260 < 648/1260 or 8/36 < 18/35
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