Add 40/12 and 49/14
1st number: 3 4/12, 2nd number: 3 7/14
40/12 + 49/14 is 41/6.
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,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
49/14 = 49 × 6/14 × 6 = 294/84 - Add the two like fractions:
280/84 + 294/84 = 280 + 294/84 = 574/84 - 574/84 simplified gives 41/6
- So, 40/12 + 49/14 = 41/6
In mixed form: 65/6
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