Question

Fill in the blanks. (With picture) 15 pts

(Simplify your answers. Use integers or fractions for any numbers in the expressions.

Answer 1

Given:

The expression is:

$\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)$

                                          $=\_\_\_n+\_\_\_$

To find:

The missing values.

Solution:

We have,

$\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)$

It can be written as

$\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)$

So, the values for the first two boxes are $\dfrac{11}{19}n$ and 10 respectively.

On simplification, we get

$\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)$

$\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2$

So, the values for third and fourth boxes are $\dfrac{12}{19}$ and 2 respectively.