Multiply. Write your answer in simplest form. 5q - 4/q^2 * 2 ______

Identify terms: Identify the terms to be multiplied. We have the fraction (5q - 4)/q^2 and the integer 2. To multiply these, we simply multiply the numerators and keep the denominator as is.Multiply integer by numerator: Multiply the integer 2 by the numerator (5q - 4). This gives us 2 * (5q - 4) = 10q - 8.Form new fraction: Place the result of the multiplication over the original denominator to form the new fraction. This gives us (10q - 8)/q^2.Simplify fraction: Simplify the fraction if possible. In this case, there are no common factors between the numerator and the denominator, so the fraction is already in its simplest form.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $\frac{5q - 4}{q^2} \times 2$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply and divide rational expressions

Full solution

Q. Multiply. Write your answer in simplest form.

\newline

\frac{5q - 4}{q^2} \times 2

Identify terms: Identify the terms to be multiplied. We have the fraction $(5q - 4)/q^2$ and the integer $2$ . To multiply these, we simply multiply the numerators and keep the denominator as is.
Multiply integer by numerator: Multiply the integer $2$ by the numerator $(5q - 4)$ . This gives us $2 \times (5q - 4) = 10q - 8$ .
Form new fraction: Place the result of the multiplication over the original denominator to form the new fraction. This gives us $(10q - 8)/q^2$ .
Simplify fraction: Simplify the fraction if possible. In this case, there are no common factors between the numerator and the denominator, so the fraction is already in its simplest form.