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. $\newline$ $\frac{2}{q} + 3$

View step-by-step help

View step-by-step help

Simplify mixed rational expressions

Full solution

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

\newline

\frac{2}{q} + 3

Identify Like Terms: Identify the like terms in the expression. $\newline$ Since $3$ is a whole number and $\frac{2}{q}$ is a fraction, we need to express $3$ as a fraction with a common denominator with $\frac{2}{q}$ to combine them. The common denominator will be $q$ .
Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator. $\newline$ To convert $3$ to a fraction with denominator $q$ , we multiply both the numerator and the denominator by $q$ : $3 \times (\frac{q}{q}) = \frac{3q}{q}$ .
Rewrite with Common Denominator: Rewrite the expression with the common denominator. $\newline$ Now we have $\frac{2}{q} + \frac{3q}{q}$ . Since they have the same denominator, we can combine the numerators.
Combine Numerators: Combine the numerators. $\newline$ Add the numerators together: $2 + 3q = 3q + 2$ .
Write Over Common Denominator: Write the combined numerators over the common denominator. $\newline$ The combined fraction is $(3q + 2)/q$ .
Check for Further Simplification: Check if the fraction can be simplified further. Since $3q + 2$ and $q$ have no common factors other than $1$ , the fraction is already in its simplest form.

More problems from Simplify mixed rational expressions

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

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

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

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

Posted 3 months ago

Question

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

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

Posted 3 months ago

Question

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

\newline

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

\newline

Posted 3 months ago

Question

h

\newline

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

\newline

1

2

\newline

h =

h =

Posted 2 months ago

Question

What is the equation of the vertical asymptote of

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

Posted 3 months ago

Question

What is the excluded value for

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

\newline

Posted 3 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

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

\newline

Posted 3 months ago

Question

Divide. Write your answer in simplest form.

\newline

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

\newline

Posted 3 months ago

Question

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

\newline

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

\newline

Posted 3 months ago