Compare 35/12 and 70/8
1st number: 2 11/12, 2nd number: 8 6/8
35/12 is smaller than 70/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 12 × 2 = 24,
35/12 = 35 × 2/12 × 2 = 70/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
70/8 = 70 × 3/8 × 3 = 210/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/24 < 210/24 or 35/12 < 70/8
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