Add 14/3 and 49/12
1st number: 4 2/3, 2nd number: 4 1/12
14/3 + 49/12 is 35/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 12 is 12
Next, find the equivalent fraction of both fractional numbers with denominator 12 - For the 1st fraction, since 3 × 4 = 12,
14/3 = 14 × 4/3 × 4 = 56/12 - Likewise, for the 2nd fraction, since 12 × 1 = 12,
49/12 = 49 × 1/12 × 1 = 49/12 - Add the two like fractions:
56/12 + 49/12 = 56 + 49/12 = 105/12 - 105/12 simplified gives 35/4
- So, 14/3 + 49/12 = 35/4
In mixed form: 83/4
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