# How do you simplify 7/8 + 1/5?

May 17, 2018

$\implies \frac{43}{40}$

#### Explanation:

We need to establish a common denominator.

To do this, we multiply each fraction by $1$ because we do not want to change the expression that we have. We multiply by a specific form of the number $1$ in order to obtain the common denominator.

$\implies \frac{7}{\textcolor{b l u e}{8}} + \frac{1}{\textcolor{red}{5}}$

$= \frac{7}{8} \cdot \frac{\textcolor{red}{5}}{\textcolor{red}{5}} + \frac{1}{5} \cdot \frac{\textcolor{b l u e}{8}}{\textcolor{b l u e}{8}}$

notice how both fractions are multiplied by $1$, which means they are still the same value. However, we are changing the numerator and denominator of each fraction in order to be able to combine them.

$= \frac{35}{40} + \frac{8}{40}$

Now that the denominators are the same, we can combine the fractions

$= \frac{35 + 8}{40}$

$= \frac{43}{40}$

Now we check to see if this can be simplified. It cannot, so that is our solution.