Add 3/12 and 49/14
1st number: 3/12, 2nd number: 3 7/14
3/12 + 49/14 is 15/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 14 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
3/12 = 3 × 7/12 × 7 = 21/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
49/14 = 49 × 6/14 × 6 = 294/84 - Add the two like fractions:
21/84 + 294/84 = 21 + 294/84 = 315/84 - 315/84 simplified gives 15/4
- So, 3/12 + 49/14 = 15/4
In mixed form: 33/4
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