Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. \newline4p2q5pq+5pq\frac{4p^2q^5}{pq} + \frac{5}{pq}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline4p2q5pq+5pq\frac{4p^2q^5}{pq} + \frac{5}{pq}
  1. Combine terms: Combine the terms over a common denominator.\newlineSince both terms have the same denominator, we can combine them directly.\newline4p2q5/pq+5/pq4p^2q^5/pq + 5/pq\newline= (4p2q5+5)/pq(4p^2q^5 + 5)/pq
  2. Simplify numerator: Simplify the numerator.\newlineWe can't simplify the numerator further because 4p2q54p^2q^5 and 55 do not have common factors.\newlineSo the expression remains (4p2q5+5)/pq(4p^2q^5 + 5)/pq.
  3. Simplify denominator: Simplify the denominator.\newlineWe notice that pqpq is already in its simplest form and cannot be simplified further.\newlineSo the final expression is (4p2q5+5)/pq(4p^2q^5 + 5)/pq.

More problems from Add and subtract rational expressions

Question
Evaluate the expression for t=−4.4 t = -4.4 .\newlineWrite your answer in simplest form.\newline` frac{t - 4}{t - 2} =` ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. Write your answer using whole numbers and variables.\newlineg3g2−4g\frac{g}{3g^2 - 4g}
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. 32−5p33\frac{3}{2} - \frac{5p^3}{3} ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline1+v5w31\frac{1 + \frac{v^5w}{3}}{1}\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for h h .\newline−5h−2=−4h−3 \frac{-5}{h - 2} = \frac{-4}{h - 3} \newlineThere may be 11 or 22 solutions.\newlineh= h = _____ or h= h = _____
Get tutor helpright-arrow

Posted 1 month ago

Question
What is the equation of the vertical asymptote of y=1x+9y = \frac{1}{x + 9} ? _____
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the excluded value for y=1x−9−9y = \frac{1}{x - 9} - 9 ?\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Write your answer using whole numbers and variables.\newline9k+49k2+4k\frac{9k + 4}{9k^2 + 4k}\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Divide. Write your answer in simplest form.\newlineg−110g3+25g2÷(g−1)\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer as a single fraction in simplest form. \newline5−3t31\frac{5 - \frac{3}{t^3}}{1}\newline______
Get tutor helpright-arrow

Posted 2 months ago

View all (96)