# How do you simplify 1/12+7/9?

Apr 4, 2018

The simplest fraction is $\frac{31}{27}$ or an improper fraction 1 $\frac{4}{27}$

#### Explanation:

To add fractions, first we need to make sure the denominators are equal, and then we can simply add the numerators.

We can use a multiple of the denominators as a common denominator and we can find it by multiplying the denominators with each other.

$12 \cdot 9 = 81$

$\frac{\text{1(9)"/81 +"7(12)}}{81}$

81 is our common denominator and we can modify the numerators by multiplying them with the denominator of the other fraction.

$1 \cdot 9 = 9$ and $7 \cdot 12 = 84$

This gives us $\frac{\text{9+84}}{81} = \frac{93}{81}$

This can be further simplified by dividing both the numerator and denominator by 3, which leaves us with $\text{93/3"/"81/3"=} \frac{31}{27}$ as our final answer.

To express this as an improper fraction, we can use long division and divide 31 with 27 and get a quotient of 1 and a remainder of 4. We can express this in an improper fraction 1 $\frac{4}{27}$