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. \newline2z53+z\frac{2z^5}{3} + z

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify mixed rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline2z53+z\frac{2z^5}{3} + z
  1. Identify Common Denominator: Identify the common denominator for the fractions.\newlineSince the second term zz can be written as z/1z/1, we need to find a common denominator for 33 and 11. The common denominator is 33.
  2. Convert to Common Denominator: Convert the second term to have the common denominator.\newlineTo convert zz to have the denominator of 33, we multiply both the numerator and the denominator by 33.\newlinez=(z×3)/(1×3)=3z3z = (z \times 3) / (1 \times 3) = \frac{3z}{3}
  3. Rewrite with Common Denominator: Rewrite the expression with the common denominator.\newlineNow we have the expression 2z53+3z3\frac{2z^5}{3} + \frac{3z}{3}.
  4. Combine Fractions: Combine the fractions.\newlineSince both terms now have the same denominator, we can combine them into a single fraction.\newline(2z5+3z)/3(2z^5 + 3z) / 3
  5. Check for Simplification: Check if the numerator can be simplified.\newlineThe numerator 2z5+3z2z^5 + 3z does not have any common factors other than zz, and it cannot be factored further in a way that would cancel with the denominator. Therefore, the expression is already in its simplest form.

More problems from Simplify mixed 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 7 months ago

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

Posted 5 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 5 months ago

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

Posted 5 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 7 months ago

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

Posted 9 months ago

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

Posted 9 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 9 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 9 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 9 months ago

View all (65)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant