Question

Can anybody help me on Simplying expressions w/ rational numbers??​

Answer 1

Answer: $1-\frac{9}{7}n$

Step-by-step explanation:

You need to remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(-)(+)=-$

And the the Distributive property. This states that:

$c(a\±b)=ac\±bc$

In this case, given the following expression:

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

 In order to to create an equivalent expression, the first step is to apply the Distributive property. Then:

$\frac{1}{7}-\frac{3*3}{7}n+\frac{2*3}{7}\\\\\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}$

You can identify that the like terms are:

$\frac{1}{7}$ and $\frac{6}{7}$

So, you can combine these like terms. This means that you must add them. Since both terms have equal denominator, you need to rewrite the denominator and just add the numerators.

Then, you get:

$\frac{1+6}{7}-\frac{9}{7}n=\frac{7}{7}-\frac{9}{7}n=1-\frac{9}{7}n$