Question

How do you solve an equation with a fraction and coefficient that are next to eachother such as the one in the picture?

Answer 1

Answer:

See below

Step-by-step explanation:

Hi there!

We want to solve for c (find the value of c) in 15=$\frac{3}{8}c-18$

To do that, isolate 1c (also written as c) on one side.

We can add 18 to both sides to remove it from the right side

15=$\frac{3}{8}c$-18

+18    +18

_______________

33=$\frac{3}{8}c$

You want to know how to solve an equation where the coefficient of a term is a fraction

Remember that we want to find the value of 1c.

Multiplying a fraction by its reciprocal (the 'flipped' version of that fraction) will give 1.

For example, multiplying $\frac{2}{5}$ by $\frac{5}{2}$ (the reciprocal of $\frac{2}{5}$) will give:

$\frac{2}{5} * \frac{5}{2}=\frac{10}{10}=1$

So therefore, we should multiply both sides by the reciprocal of $\frac{3}{8}$, which would be $\frac{8}{3}$

Therefore,

$\frac{8}{3} * 33=\frac{3}{8}c * \frac{8}{3}$

Multiply

$\frac{264}{3}$=$\frac{24}{24}c$

Simplify the fractions

88=c

Hope this helps!