Compare 2/12 and 30/70
2/12 is smaller than 30/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
2/12 = 2 × 35/12 × 35 = 70/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
30/70 = 30 × 6/70 × 6 = 180/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/420 < 180/420 or 2/12 < 30/70
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