Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{g}{3g^2 - 4g}$

View step-by-step help

View step-by-step help

Simplify rational expressions

Full solution

Q. Simplify. Write your answer using whole numbers and variables.

\newline

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

Identify GCF of denominator: Identify the greatest common factor (GCF) of the terms in the denominator, $3g^2$ and $4g$ . $\newline$ The GCF is $g$ , because both terms are divisible by $g$ .
Factor out GCF from denominator: Factor out the GCF, $g$ , from the denominator. $3g^2 - 4g = g(3g - 4)$
Rewrite expression with factored denominator: Rewrite the original expression with the factored denominator. $\newline$ $(g)/(3g^2 - 4g)$ becomes $(g)/(g(3g - 4))$
Cancel out common factor: Cancel out the common factor of $g$ from the numerator and the denominator. $\frac{g}{g(3g - 4)}$ simplifies to $\frac{1}{3g - 4}$ because $\frac{g}{g} = 1$ .

More problems from Simplify rational expressions

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

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

Posted 7 months ago

Question

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

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

Posted 5 months ago

Question

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

\newline

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

\newline

Posted 5 months ago

Question

h

\newline

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

\newline

1

2

\newline

h =

h =

Posted 7 months ago

Question

What is the equation of the vertical asymptote of

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

Posted 9 months ago

Question

What is the excluded value for

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

\newline

Posted 9 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

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

\newline

Posted 9 months ago

Question

Divide. Write your answer in simplest form.

\newline

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

\newline

Posted 9 months ago

Question

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

\newline

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

\newline

Posted 9 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant