Question

In the following exercises, simplify. $$ \frac{2}{d}+\frac{9}{d} $$

   In the following exercises, simplify. 
$$
\frac{2}{d}+\frac{9}{d}
$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 4, Problem 690

Instant Answer

Solved by Expert Elizabeth Xu

05/01/2020

Step 1

Step 1: First, we identify that the denominators of the two fractions are the same, which is 'd'. Show more…

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In the following exercises, simplify. $$ \frac{2}{d}+\frac{9}{d} $$

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Key Concepts

Common Denominator

When two fractions have the same denominator, it allows for a straightforward addition of the numerators while keeping the denominator unchanged. This is a fundamental property of fractions that simplifies operations in arithmetic and algebra.

Fraction Addition

Adding fractions involves combining the numerators of fractions that share a common denominator. This technique is essential not only in arithmetic but also in the manipulation of algebraic expressions.

Algebraic Simplification

Simplification in algebra includes combining like terms and reducing expressions to a simpler form. In the context of rational expressions, this often involves adding or subtracting fractions and consolidating terms to achieve the simplest equivalent expression.

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