Compare 3/12 and 49/70
3/12 is smaller than 49/70
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,
3/12 = 3 × 35/12 × 35 = 105/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
49/70 = 49 × 6/70 × 6 = 294/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/420 < 294/420 or 3/12 < 49/70
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