Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Simplify your answer. $\newline$ $\frac{7hj}{14h^2j^2} \times 8h^2$

View step-by-step help

View step-by-step help

Multiply and divide rational expressions

Full solution

Q. Multiply. Simplify your answer.

\newline

\frac{7hj}{14h^2j^2} \times 8h^2

Write Problem & Identify Terms: Write down the problem and identify the terms that can be simplified. We have the expression $(7hj)/(14h^2j^2) \times 8h^2$ . We can simplify by canceling out common factors in the numerator and the denominator.
Cancel Common Factors: Cancel out the common factors. The $h$ in the numerator can cancel with one $h$ from $h^2$ in the denominator, and the $j$ in the numerator can cancel with one $j$ from $j^2$ in the denominator. Also, the $7$ in the numerator can be divided by $14$ in the denominator to simplify further.
Perform Simplification: Perform the simplification. $(\frac{7}{14})$ reduces to $(\frac{1}{2})$ , $\frac{h}{h^2}$ reduces to $(\frac{1}{h})$ , and $\frac{j}{j^2}$ reduces to $(\frac{1}{j})$ . So, we have $(\frac{1}{2}) \times (\frac{1}{h}) \times (\frac{1}{j}) \times 8h^2$ .
Multiply Remaining Terms: Multiply the remaining terms. We have $(\frac{1}{2}) \times (\frac{1}{h}) \times (\frac{1}{j}) \times 8h^2 = (\frac{8}{2}) \times \frac{h^2}{h} \times \frac{1}{j} = 4h \times \frac{1}{j} = \frac{4h}{j}$ .

More problems from Multiply and divide 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