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. \newlinebc3+9\frac{bc}{3} + 9

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. \newlinebc3+9\frac{bc}{3} + 9
  1. Convert 99 to Fraction: To combine the term bc3\frac{bc}{3} with the whole number 99, we need to express 99 as a fraction with the same denominator as bc3\frac{bc}{3}, which is 33. We can write 99 as 91\frac{9}{1} and then multiply both the numerator and the denominator by 33 to get the same denominator. Calculation: 9×(33)=9×31×3=2739 \times \left(\frac{3}{3}\right) = \frac{9\times3}{1\times3} = \frac{27}{3}
  2. Add Fractions: Now we have the fraction 273\frac{27}{3}, which has the same denominator as bc3\frac{bc}{3}. We can now add the two fractions together.\newlineCalculation: (bc3)+(273)=bc+273\left(\frac{bc}{3}\right) + \left(\frac{27}{3}\right) = \frac{bc + 27}{3}
  3. Simplify Result: The expression (bc+27)/3(bc + 27)/3 is already in simplest form because the numerator and the denominator have no common factors other than 11.\newlineTherefore, this is the final answer.

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 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 (65)