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:

Evaluate the expression for z=15z = 15. Simplify your answer.\newline9z−18=\frac{9}{z} - 18 = _____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Evaluate rational expressions IIright chevron icon

Full solution

Q. Evaluate the expression for z=15z = 15. Simplify your answer.\newline9z−18=\frac{9}{z} - 18 = _____
  1. Substitute zz with 1515: Substitute zz with 1515 in the expression 9z−18\frac{9}{z} - 18. Substitute 1515 for zz in 9z−18\frac{9}{z} - 18. 915−18\frac{9}{15} - 18
  2. Simplify 915\frac{9}{15}: Simplify 915\frac{9}{15}.\newlineDivide 99 by 1515 to simplify the fraction.\newline915=35\frac{9}{15} = \frac{3}{5} (since both 99 and 1515 are divisible by 33)
  3. Evaluate 35−18\frac{3}{5} - 18: Evaluate 35−18\frac{3}{5} − 18. Since 1818 is a whole number, we can write it as a fraction with a denominator of 11 to combine it with 35\frac{3}{5}. 35−181\frac{3}{5} − \frac{18}{1} To subtract these fractions, they need a common denominator. The common denominator for 55 and 11 is 55.
  4. Convert 1818 to a fraction: Convert 1818 to a fraction with a denominator of 55. Multiply 1818 by 55\frac{5}{5} to get the equivalent fraction. 18×(55)=90518 \times \left(\frac{5}{5}\right) = \frac{90}{5} Now we have 35−905.\frac{3}{5} - \frac{90}{5}.
  5. Subtract the fractions: Subtract the fractions.\newlineNow that we have a common denominator, we can subtract the numerators.\newline35−905=3−905\frac{3}{5} − \frac{90}{5} = \frac{3 − 90}{5}\newline=−875= \frac{-87}{5}

More problems from Evaluate rational expressions II

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 (122)

Related topics

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