Compare 2/35 and 12/30
2/35 is smaller than 12/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
2/35 = 2 × 6/35 × 6 = 12/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
12/30 = 12 × 7/30 × 7 = 84/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/210 < 84/210 or 2/35 < 12/30
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