Add 3 1/6+5 3/4

Answer 1

To solve this addition, we need to find a common denominator for both fractions. The common denominator of 6 and 4 is 12.

So, the new equation is:
3 1/6 + 5 3/4

To convert the whole numbers to fractions, we'll rewrite them with the denominator 12:
3 1/6 = (3*6 + 1)/6 = 19/6
5 3/4 = (5*4 + 3)/4 = 23/4

Now we can add the fractions:
19/6 + 23/4

To add these fractions, we need the same denominator, which is 24. So we'll multiply the first fraction by 4/4 and the second fraction by 6/6:
(19/6) * (4/4) = 76/24
(23/4) * (6/6) = 138/24

Now we can add the fractions:
76/24 + 138/24 = 214/24

The fraction 214/24 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
214/24 = (214/2)/(24/2) = 107/12

Therefore, the sum of 3 1/6 and 5 3/4 is 107/12.