Question

Evaluate each expression. $$2 \cdot \frac{3}{4}+\frac{3}{8}$$

   Evaluate each expression.
$$2 \cdot \frac{3}{4}+\frac{3}{8}$$

College Algebra

College Algebra

Michael Sullivan 11th Edition

Chapter 0, Problem 87

Instant Answer

Solved by Expert Victoria Karaluz

05/18/2020

Step 1

First, we need to perform the multiplication: 2 * (3/4) = 6/4 Now, we need to simplify the fraction: 6/4 = 3/2 Show more…

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Evaluate each expression. $$2 \cdot \frac{3}{4}+\frac{3}{8}$$

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Key Concepts

Multiplication of Fractions

Multiplying fractions involves combining the numerators together and the denominators together. When a whole number is involved, it is typically converted into a fraction by giving it a denominator of 1. This process is key in evaluating expressions where fractions and whole numbers are multiplied.

Addition of Fractions and Common Denominators

Adding fractions requires that the fractions have the same denominator. If they do not, identifying or creating a common denominator—often the least common denominator (LCD)—is necessary. This step allows for a straightforward addition of the numerators while maintaining the common denominator, leading to a simplified result.

Order of Operations

This concept determines the sequence in which operations such as multiplication and addition must be performed in an arithmetic expression. It ensures that any multiplication is executed before addition, following the established rules often remembered by the acronym PEMDAS or BODMAS, thereby leading to a correct result.

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