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Chapter 1: Problem 34

Perform the indicated subtraction. $$-\frac{4}{9}-\left(-\frac{1}{9}\right)$$

Short Answer

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Step by step solution

01

Understand the Problem

We have to subtract \(-\frac{1}{9}\) from \(-\frac{4}{9}\). Note that the second number is enclosed in a bracket and has negative sign. This is essentially subtracting a negative number.
02

Simplify the expression

Subtracting a negative number turns to addition because two negative signs make a positive. It changes our expression to \(-\frac{4}{9} + \frac{1}{9}\).
03

Perform the Addition

Add the two fractions to get \(-\frac{3}{9}\).
04

Simplify the fraction

\(-\frac{3}{9}\) simplifies to \(-\frac{1}{3}\) by dividing both numerator and denominator by 3.

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