Simplify: (5/6) + (7/12). What is the result?

To simplify the expression ( (5/6) + (7/12) ), it is important to have a common denominator. The denominators in this case are 6 and 12. The least common denominator (LCD) of these two numbers is 12.

Next, we convert ( 5/6 ) to a fraction with a denominator of 12. To do this, we can multiply both the numerator and the denominator of ( 5/6 ) by 2:

[

5/6 = (5 \times 2)/(6 \times 2) = 10/12

]

Now we can rewrite the original expression using this conversion:

[

10/12 + 7/12

]

With a common denominator, we can simply add the numerators:

[

(10 + 7)/12 = 17/12

]

The next step is to convert ( 17/12 ) into a mixed number or a decimal if necessary. To do this, we perform the division:

[

17 \div 12 = 1 \quad \text{remainder} \quad 5,

]

This gives us a mixed number of ( 1 \