Question

3/8 (c+8) = -3/2 I need help with this

Answer 1

Answer:

c = -12

Step-by-step explanation:

Solving for a variable with fractions can sometimes seem difficult, but getting rid of the fractions first will help.  In order to get rid of a fraction, you can multiply by its reciprocal on both sides of the equation.  The reciprocal is the opposite form of the fraction where the numerator becomes the denominator and the denominator becomes the numerator.  For example:

$\frac{3}{8}*\frac{8}{3}=\frac{24}{24}=1$

So, the recriprocal of $\frac{3}{8}$ is $\frac{8}{3}$

Start by multiplying both sides of the equation by $\frac{8}{3}$:

($\frac{8}{3}$)($\frac{3}{8}$)(c+8) = $\frac{-3}{2}$($\frac{8}{3}$)

c + 8 = $\frac{-24}{6}=-4$ or c + 8 = -4 so c = -12