Problem 126 Perform these computations. $$... [FREE SOLUTION]

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Chapter 1: Problem 126

Perform these computations. $$-\frac{2}{3}+\left(-\frac{2}{3}\right)$$

Short Answer

Expert verified

$-\frac{4}{3}$

Step by step solution

Identify the Terms

Recognize the terms you need to add: The first term is $-\frac{2}{3}$and the second term is $-\frac{2}{3}$.

Rewrite the Problem

Rewrite the addition of the two fractions: $-\frac{2}{3} + (-\frac{2}{3})$.

Combine the Terms

Combine the terms by adding the numerators together while keeping the denominator the same: $ -\frac{2}{3} + -\frac{2}{3} = -\left( \frac{2}{3} + \frac{2}{3} \right) $.

Simplify the Expression

Add the fractions: $ -\left( \frac{4}{3} \right) $.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Negative Fractions

Understanding negative fractions is essential for mastering addition and subtraction in fraction operations. A negative fraction, like $-\frac{2}{3}$, means that the fraction represents a value less than zero.

It's similar to how we think about negative whole numbers. If you add negative fractions, you are essentially combining them to represent a more negative value. For instance, when adding $-\frac{2}{3}$ and $-\frac{2}{3}$, you're adding two values that are each less than zero, resulting in a more negative value.

Simplifying Expressions

Simplifying expressions is a way to make a mathematical problem easier to understand and solve. When dealing with fractions, simplifying often means combining like terms or reducing fractions to their simplest form.
For example, when combining like fractions, such as adding $-\frac{2}{3}$ and $-\frac{2}{3}$, you add the numerators together.
This gives: $-\left(\frac{2}{3} + \frac{2}{3}\right) = -\frac{4}{3}$. It's essential to keep the denominator the same during this process.
Simplifying also involves making sure that the final answer, like $-\frac{4}{3}$, is in its simplest form.

Mathematical Operations

Performing mathematical operations, such as addition and subtraction, with fractions can be straightforward once you understand the process.
Here are some key points to remember:

When adding or subtracting fractions, ensure the denominators are the same.
Add the numerators while keeping the denominators fixed.
Combine negative and positive fractions as per their signs.

In our exercise: $-\frac{2}{3} + -\frac{2}{3} = -\left(\frac{2}{3} + \frac{2}{3}\right) = -\left(\frac{4}{3}\right)$.
This combines the terms correctly and keeps the operations straightforward, resulting in $-\frac{4}{3}$ as the simplified answer.

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91影视

Perform these computations. $$-\frac{2}{3}+\left(-\frac{2}{3}\right)$$

Short Answer

Step by step solution

Identify the Terms

Rewrite the Problem

Combine the Terms

Simplify the Expression

Key Concepts

Negative Fractions

Simplifying Expressions

Mathematical Operations

One App. One Place for Learning.

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