Frank builds kitchen cabinets. He offers four different wood finishes. 1/8 of his customers choose dark walnut, 2/5 choose golden oak and 3/10 choose cherry. The rest of the customers prefer a natural finish. What fraction of the customers choose the natural finish?



Answer :

Answer:

7/40 of his customers chose a natural finish

Step-by-step explanation:

Start by subtracting the fractal amounts from the whole, which is 1.

[tex]1-(\frac{1}{8}+\frac{4}{10}+\frac{3}{10})[/tex]

Next, add like-terms

[tex]1-(\frac{1}{8}+\frac{7}{10})[/tex]

Find a common denominator

[tex]1-(\frac{5}{40}+\frac{28}{40})[/tex]

Add inside parentheses

[tex]1-(\frac{33}{40})[/tex]

Recognize that 1 is equal to [tex]\frac{40}{40}[/tex]

[tex]\frac{40}{40}-\frac{33}{40}[/tex]

Solve to get 7/40. This cannot be simplified further.