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. \newline27q5−4q2r\frac{2}{7q^5} - \frac{4}{q^2r}

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. \newline27q5−4q2r\frac{2}{7q^5} - \frac{4}{q^2r}
  1. Identify LCD: Identify the least common denominator (LCD) for the fractions.\newlineThe LCD for the fractions 27q5\frac{2}{7q^5} and 4q2r\frac{4}{q^2r} is 7q5r7q^5r since it is the smallest expression that both denominators can divide into without leaving a remainder.
  2. Rewrite fractions: Rewrite each fraction with the common denominator.\newlineFor the first fraction, multiply both the numerator and the denominator by rr to get (2r)/(7q5r)(2r)/(7q^5r).\newlineFor the second fraction, multiply both the numerator and the denominator by 7q37q^3 to get (28q3)/(7q5r)(28q^3)/(7q^5r).
  3. Combine fractions: Combine the fractions.\newlineNow that both fractions have the same denominator, we can combine them into a single fraction.\newline(2r)/(7q5r)−(28q3)/(7q5r)=(2r−28q3)/(7q5r)(2r)/(7q^5r) - (28q^3)/(7q^5r) = (2r - 28q^3)/(7q^5r)
  4. Simplify numerator: Simplify the numerator.\newlineSubtract the terms in the numerator to get a single expression.\newline2r−28q3=−28q3+2r2r - 28q^3 = -28q^3 + 2r (rearranging the terms for clarity)
  5. Write final fraction: Write the final simplified fraction.\newlineThe final simplified fraction is (−28q3+2r)/(7q5r)(-28q^3 + 2r)/(7q^5r).

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 2 months ago

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

Posted 3 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 3 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 3 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 2 months ago

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

Posted 3 months ago

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

Posted 3 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 3 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 3 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 3 months ago

View all (96)