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. $\newline$ $\frac{t^2u}{4} + \frac{t}{3}$

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{t^2u}{4} + \frac{t}{3}

Identify Common Denominator: Identify the common denominator for the fractions $\frac{t^2u}{4}$ and $\frac{t}{3}$ . The common denominator for $4$ and $3$ is $12$ . We need to rewrite both fractions with the common denominator of $12$ .
Rewrite First Fraction: Rewrite the first fraction $t^2u/4$ with the common denominator. $\newline$ To get a denominator of $12$ , we multiply both the numerator and the denominator of $t^2u/4$ by $3$ . $\newline$ $(t^2u/4) \times (3/3) = (3t^2u)/(4\times3) = (3t^2u)/12$
Rewrite Second Fraction: Rewrite the second fraction $\frac{t}{3}$ with the common denominator. $\newline$ To get a denominator of $12$ , we multiply both the numerator and the denominator of $\frac{t}{3}$ by $4$ . $\newline$ $(\frac{t}{3}) \cdot (\frac{4}{4}) = \frac{4t}{3\cdot4} = \frac{4t}{12}$
Add Fractions: Add the two fractions with the common denominator. $\newline$ $(\frac{3t^2u}{12} + \frac{4t}{12} = \frac{3t^2u + 4t}{12})$
Check Simplification: Check if the numerator can be simplified. $\newline$ The numerator $3t^2u + 4t$ cannot be simplified further because there are no 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