Subtract. -(7)/(9)-(-(5)/(9))

Name: Problem 447, Chapter 1: Elementary Algebra
Uploaded: 2021-07-15T17:13:14-08:00
Duration: 43 s
Channel: Luke P
Description: Subtract. -(7)/(9)-(-(5)/(9))

step 1 Today we are subtracting fractions. In this case, we are given negative 7 .9s minus negative 5.

Question

Subtract. $$ -\frac{7}{9}-\left(-\frac{5}{9}\right) $$

   Subtract.
$$
-\frac{7}{9}-\left(-\frac{5}{9}\right)
$$

Elementary Algebra

Lynn Marecek 2nd Edition

Chapter 1, Problem 447

Instant Answer

Solved by Expert Luke P

07/15/2021

Step 1

The first thing we need to do is to simplify the expression inside the parentheses. Since subtracting a negative is the same as adding a positive, we can rewrite the expression as $-\frac{7}{9}+\frac{5}{9}$. Show more…

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Subtract. $$ -\frac{7}{9}-\left(-\frac{5}{9}\right) $$

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Key Concepts

Subtraction of Negative Numbers

When subtracting a negative number, the operation effectively becomes an addition. This is because two negative signs cancel each other out, which is a fundamental property of real numbers in arithmetic.

Arithmetic with Fractions

Operations involving fractions require careful attention to both numerators and denominators. When fractions have the same denominator, such as in this case, they can be directly added or subtracted by performing the operation on the numerators while retaining the denominator.

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