Simplify. Express your answer as a single fraction in simplest form. 9r^4/2 + 9 ______

Question

Bytelearn · Accepted Answer

Identify like terms and denominator: Identify the like terms and the common denominator. To combine the terms into a single fraction, we need a common denominator. The first term has a denominator of 2, and the second term, 9, can be thought of as 9/1. The common denominator for 2 and 1 is 2.Convert integer to common fraction: Convert the integer to a fraction with the common denominator. To convert 9 to a fraction with a denominator of 2, we multiply both the numerator and the denominator by 2. 9 * (2/2) = 18/2Rewrite expression with common denominator: Rewrite the expression with the common denominator. Now we rewrite the original expression with both terms over the common denominator of 2. (9r^4/2) + (18/2)Combine fractions: Combine the fractions. Since both terms now have the same denominator, we can combine them into a single fraction. (9r^4 + 18)/2Check for further simplification: Check if the fraction can be simplified further. The numerator 9r^4 + 18 has a common factor of 9, but the denominator is 2, which does not share this factor. Therefore, the fraction is already in its simplest form.

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{9r^4}{2} + 9$

Full solution

More problems from Simplify mixed rational expressions

Related topics

Simplify. Express your answer as a single fraction in simplest form. \newline9r42+9\frac{9r^4}{2} + 929r4​+9

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{9r^4}{2} + 9$