Multiply. -(2)/(3)(-(3)/(8))

Name: Problem 359, Chapter 1: Elementary Algebra
Uploaded: 2021-07-16T14:53:29-08:00
Duration: 1 min 40 s
Channel: Melissa Barry
Description: Multiply. -(2)/(3)(-(3)/(8))

step 1 In this problem, I'm going to multiply the fraction negative two -thirds by the fraction negativ

Question

Multiply. $$ -\frac{2}{3}\left(-\frac{3}{8}\right) $$

   Multiply.
$$
-\frac{2}{3}\left(-\frac{3}{8}\right)
$$

Elementary Algebra

Lynn Marecek 2nd Edition

Chapter 1, Problem 359

Instant Answer

Solved by Expert Melissa Barry

07/16/2021

Step 1

The product of the numerators becomes the numerator of the product, and the product of the denominators becomes the denominator of the product. So, we have: $$ -\frac{2}{3}\left(-\frac{3}{8}\right) = \frac{-2 \times -3}{3 \times 8} $$ Show more…

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Multiply. $$ -\frac{2}{3}\left(-\frac{3}{8}\right) $$

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Key Concepts

Rules of Signs

When multiplying numbers with signs, it is important to note how positive and negative numbers interact. Specifically, the product of two negative numbers is positive. This rule helps ensure that operations involving signed numbers are carried out correctly.

Simplification of Fractions

After performing multiplication of fractions, the resulting fraction is often simplified by canceling common factors in the numerator and denominator. This process reduces the fraction to its simplest form, making it easier to work with and understand in subsequent calculations.

Multiplication of Fractions

This concept involves multiplying two fractions by multiplying their numerators together to form the new numerator, and multiplying their denominators together to form the new denominator. This process is fundamental in arithmetic and algebra when dealing with rational expressions.

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