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.\newline14+10s3\frac{1}{4} + \frac{10s}{3}

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.\newline14+10s3\frac{1}{4} + \frac{10s}{3}
  1. Identify LCD: Identify the least common denominator (LCD) for the fractions 14\frac{1}{4} and 10s3\frac{10s}{3}. The denominators are 44 and 33, so the LCD is 4×3=124 \times 3 = 12.
  2. Rewrite with LCD: Rewrite each fraction with the common denominator of 1212. For 14\frac{1}{4}, multiply the numerator and denominator by 33 to get (1×34×3)=312\left(\frac{1 \times 3}{4 \times 3}\right) = \frac{3}{12}. For 10s3\frac{10s}{3}, multiply the numerator and denominator by 44 to get (10s×43×4)=40s12\left(\frac{10s \times 4}{3 \times 4}\right) = \frac{40s}{12}.
  3. Add fractions: Add the fractions with the common denominator.\newline(312)+(40s12)=3+40s12(\frac{3}{12}) + (\frac{40s}{12}) = \frac{3 + 40s}{12}
  4. Check for simplification: Check if the resulting fraction can be simplified further.\newlineThe numerator 3+40s3 + 40s and the denominator 1212 do not have any common factors other than 11, so the fraction is already in simplest form.

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)