Simplify. Express your answer as a single fraction in simplest form. 8v - 5/vw^3 ______

Question

Bytelearn · Accepted Answer

Identify Terms: Identify the terms in the expression that need to be combined into a single fraction. The expression is 8v - 5/vw^3. We have a whole number term, 8v, and a fractional term, -5/vw^3. To combine these into a single fraction, we need a common denominator.Find LCD: Find the least common denominator (LCD) for the terms. The LCD for the terms is vw^3 because it is the product of the unique factors from each term's denominator. The whole number term 8v can be thought of as having a denominator of 1, so we multiply 8v by vw^3/vw^3 to give it the common denominator.Rewrite Whole Number: Rewrite the whole number term as a fraction with the common denominator. 8v * (vw^3/vw^3) = 8v^2w^3/vw^3 Now both terms have the common denominator vw^3.Combine Terms: Combine the terms over the common denominator. (8v^2w^3 - 5)/vw^3 Now the expression is written as a single fraction.Check Simplification: Check if the numerator can be simplified. The numerator 8v^2w^3 - 5 does not have any common factors with the denominator vw^3, and there are no like terms to combine in the numerator. Therefore, the fraction is already in its simplest form.

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $8v -$ $\frac {5}{vw^3}$

Full solution

More problems from Simplify mixed rational expressions

Related topics

Simplify. Express your answer as a single fraction in simplest form. \newline8v−8v -8v−5vw3\frac {5}{vw^3}vw35​

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $8v -$ $\frac {5}{vw^3}$