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. \newlinetu4−6tu35\frac{tu}{4} - \frac{6tu^3}{5}

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. \newlinetu4−6tu35\frac{tu}{4} - \frac{6tu^3}{5}
  1. Identify Common Denominator: Identify the common denominator for the fractions tu4\frac{tu}{4} and 6tu35\frac{6tu^3}{5}. The common denominator for 44 and 55 is 2020. We will rewrite both fractions with the common denominator of 2020.
  2. Rewrite First Fraction: Rewrite the first fraction tu4\frac{tu}{4} with the common denominator.\newlinetu4=tu×54×5=5tu20\frac{tu}{4} = \frac{tu \times 5}{4 \times 5} = \frac{5tu}{20}
  3. Rewrite Second Fraction: Rewrite the second fraction 6tu35\frac{6tu^3}{5} with the common denominator.\newline6tu35=(6tu3×45×4)=24tu320\frac{6tu^3}{5} = \left(\frac{6tu^3 \times 4}{5 \times 4}\right) = \frac{24tu^3}{20}
  4. Subtract Fractions: Subtract the second fraction from the first fraction.\newline(5tu20)−(24tu320)=5tu−24tu320(\frac{5tu}{20}) - (\frac{24tu^3}{20}) = \frac{5tu - 24tu^3}{20}
  5. Check Simplification: Check if the numerator can be simplified.\newlineThe terms in the numerator, 5tu5tu and 24tu324tu^3, do not have common factors other than tutu, and they are not like terms, so the numerator cannot be simplified further.

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 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 (91)

Related topics

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