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. $\newline$ $\frac{5}{y^3z} + 10$

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{5}{y^3z} + 10

Identify Like Terms: Identify the like terms in the expression. $\newline$ Since $10$ is not a fraction, we need to convert it into a fraction with the same denominator as $\frac{5}{y^3z}$ to combine them.
Convert Whole Number to Fraction: Convert the whole number $10$ into a fraction with the same denominator as $\frac{5}{y^3z}$ . To do this, we multiply $10$ by $\left(\frac{y^3z}{y^3z}\right)$ which is equal to $1$ . $10 \times \left(\frac{y^3z}{y^3z}\right) = \frac{10y^3z}{y^3z}$
Combine Fractions: Combine the two fractions. $\newline$ Now we have two fractions with the same denominator, so we can add them together. $\newline$ $(\frac{5}{y^3z}) + (\frac{10y^3z}{y^3z}) = \frac{5 + 10y^3z}{y^3z}$
Simplify Expression: Simplify the expression if possible. $\newline$ In this case, there are no common factors in the numerator that can be canceled with the denominator, so the expression 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 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