Compare 1/35 and 8/12
1/35 is smaller than 8/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
1/35 = 1 × 12/35 × 12 = 12/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
8/12 = 8 × 35/12 × 35 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/420 < 280/420 or 1/35 < 8/12
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