Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{5}{2} - \frac{vw}{4}$

View step-by-step help

View step-by-step help

Add and subtract rational expressions

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5}{2} - \frac{vw}{4}

Find Common Denominator: Identify the common denominator for the fractions. $\newline$ The fractions $\frac{5}{2}$ and $\frac{vw}{4}$ have different denominators. To combine them, we need to find a common denominator. The least common denominator (LCD) for $2$ and $4$ is $4$ .
Rewrite First Fraction: Rewrite the first fraction with the common denominator. $\newline$ To rewrite $\frac{5}{2}$ with a denominator of $4$ , we multiply both the numerator and the denominator by $2$ . $\newline$ $\left(\frac{5}{2}\right) \times \left(\frac{2}{2}\right) = \frac{10}{4}$
Combine Fractions: Combine the fractions. $\newline$ Now that both fractions have the same denominator, we can combine them. $\newline$ $\frac{10}{4} - \frac{vw}{4} = \frac{10 - vw}{4}$
Simplify Expression: Simplify the expression, if possible. $\newline$ The expression $(10 - vw)/4$ is already in its simplest form because the numerator and the denominator do not have any common factors other than $1$ .

More problems from Add and subtract rational expressions

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

` frac{t - 4}{t - 2} =` ____

Posted 1 month ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{g}{3g^2 - 4g}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\frac{3}{2} - \frac{5p^3}{3}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{1 + \frac{v^5w}{3}}{1}

\newline

Posted 2 months ago

Question

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

1

2

\newline

h =

h =

Posted 1 month ago

Question

What is the equation of the vertical asymptote of

y = \frac{1}{x + 9}

Posted 2 months ago

Question

What is the excluded value for

y = \frac{1}{x - 9} - 9

\newline

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9k + 4}{9k^2 + 4k}

\newline

Posted 2 months ago

Question

Divide. Write your answer in simplest form.

\newline

\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)

\newline

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5 - \frac{3}{t^3}}{1}

\newline

Posted 2 months ago