# How do you simplify 15 / 13 + -11.75 /13?

Jul 7, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression. The rule is: minus (-) a plus (+) is a minus (-):

$\frac{15}{13} + - \frac{11.75}{13} \implies \frac{15}{13} - \frac{11.75}{13}$

Because both fractions have common denominators we can subtract the numerators over the common denominators:

$\frac{15 - 11.75}{13} \implies \frac{3.25}{13}$

If necessary we can multiply by the appropriate form of $1$ to eliminate the decimal in the numerator:

$\frac{4}{4} \times \frac{3.25}{13} = > \frac{4 \times 3.25}{4 \times 13} = \frac{13}{52}$

We can now reduce the fraction as:

$\frac{13}{52} = \frac{13 \times 1}{13 \times 4} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{13}}} \times 1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{13}}} \times 4} = \frac{1}{4}$