Answer:
See below
Step-by-step explanation:
Hi there!
We want to solve for c (find the value of c) in 15=[tex]\frac{3}{8}c-18[/tex]
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=[tex]\frac{3}{8}c[/tex]-18
+18 +18
_______________
33=[tex]\frac{3}{8}c[/tex]
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 [tex]\frac{2}{5}[/tex] by [tex]\frac{5}{2}[/tex] (the reciprocal of [tex]\frac{2}{5}[/tex]) will give:
[tex]\frac{2}{5} * \frac{5}{2}=\frac{10}{10}=1[/tex]
So therefore, we should multiply both sides by the reciprocal of [tex]\frac{3}{8}[/tex], which would be [tex]\frac{8}{3}[/tex]
Therefore,
[tex]\frac{8}{3} * 33=\frac{3}{8}c * \frac{8}{3}[/tex]
Multiply
[tex]\frac{264}{3}[/tex]=[tex]\frac{24}{24}c[/tex]
Simplify the fractions
88=c
Hope this helps!
