Question

2. Add \a and 1/3. Use 12 as the common denominator​

Answer 1

`(36 + a)/(3a)`

Explanation:

Since I have to assume a is part of the fraction. We will answer assuming /a is replaced with a/12 + 1/3

To write 12/a as a fraction we must multiply with a common denominator. Thus being 3/3.

`(12)/(a)+ (3)/(3) +(1)/(3)`

Now to write 1/3 as a fraction with a common denom we must use a/a.

`(12)/(a) *(3)/(3)+ (1)/(3) *(a)/(a)`

Then we want to write each expression with a common denominator of a * 3 and multiply by a factor of 1.

`(12 * 3)/(a * 3) +(1)/(3)* (a)/(a)`

Then we want to multiply 1/3 and a/a.

`(12 * 3)/(a * 3) +(a)/(3a)`

Then we reorder the factors of a *3.

`(12 * 3)/(3a) +(a)/(3a)`

Next, we combine the numerators over the common denom.

`(12 * 3 + a)/(3a)`

FInally, we multiply 12 by 3.

`(36 + a)/(3a)`