Question

Write the following as a single rational expression. (240+55x)/(x)-:(270+35x)/(x)

Answer 1

To combine (240+55x)/x and -(270+35x)/x, you subtract the second fraction from the first, since they have the same denominator, resulting in the single rational expression (20x - 30) / x.

Step-by-step explanation:

To combine (240+55x)/(x) and -(270+35x)/(x) into a single rational expression, you simply add or subtract these two fractions since they have the same denominator.

First, write the expression with a common denominator:

(240 + 55x)/(x) - (270 + 35x)/(x)

Since the denominators are the same, combine the numerators:

=(240 + 55x - 270 - 35x) / x

Simplify the numerators by combining like terms:

=(240 - 270 + 55x - 35x) / x

=(55x - 35x) - (270 - 240) / x

=(20x - 30) / x

Now, the single rational expression is:

(20x - 30) / x