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. \newline5r+14q5r\frac{5}{r} + \frac{1}{4q^5r}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline5r+14q5r\frac{5}{r} + \frac{1}{4q^5r}
  1. Find LCM: Find the least common multiple (LCM) of the denominators rr and 4q5r4q^5r. Since rr is a factor of 4q5r4q^5r, the LCM is 4q5r4q^5r.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 4q54q^5 and the second fraction by 11. This gives us (5×4q5)/(r×4q5)+(1×1)/(4q5r)(5 \times 4q^5)/(r \times 4q^5) + (1 \times 1)/(4q^5r).
  3. Perform multiplication: Perform the multiplication in the numerators. This gives us (20q5)/(4q5r)+1/(4q5r)(20q^5)/(4q^5r) + 1/(4q^5r).
  4. Combine fractions: Combine the fractions since the denominators are the same. The combined fraction is (20q5+14q5r)(\frac{20q^5 + 1}{4q^5r}).
  5. Check for simplification: Check if the fraction can be simplified further. Since 20q520q^5 and 11 have no common factors other than 11, and the denominator 4q5r4q^5r cannot be simplified with the numerator, the fraction is already in simplest form.

More problems from Add and subtract rational expressions

Question
Divide. Write the quotient in lowest terms.\newline179÷45= 1 \frac{7}{9} \div \frac{4}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline14÷118= \frac{1}{4} \div 1 \frac{1}{8}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline114÷125= 1 \frac{1}{4} \div 1 \frac{2}{5}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline58÷113= \frac{5}{8} \div 1 \frac{1}{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline445÷112= 4 \frac{4}{5} \div 1 \frac{1}{2}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline212÷223= 2 \frac{1}{2} \div 2 \frac{2}{3}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline338÷9= 3 \frac{3}{8} \div 9=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline3310÷147= 3 \frac{3}{10} \div 1 \frac{4}{7}=
Get tutor helpright-arrow

Posted 10 months ago

Question
Divide. Write the quotient in lowest terms.\newline423÷7= 4 \frac{2}{3} \div 7=
Get tutor helpright-arrow

Posted 10 months ago

Question
ddx[8x2+2x−3]=? \frac{d}{d x}\left[\sqrt{8 x^{2}+2 x-3}\right]=? \newlineChoose 11 answer:\newline(A) 8x+18x2+2x−3 \frac{8 x+1}{\sqrt{8 x^{2}+2 x-3}} \newline(B) 8x+1x \frac{8 x+1}{\sqrt{x}} \newline(c) 16x+2 \sqrt{16 x+2} \newline(D) 1216x+2 \frac{1}{2 \sqrt{16 x+2}}
Get tutor helpright-arrow

Posted 9 months ago

View all (19)

Related topics

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