Problem 34
Question
Perform the indicated subtraction. $$-\frac{4}{9}-\left(-\frac{1}{9}\right)$$
Step-by-Step Solution
Verified Answer
-1/3
1Step 1: 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.
2Step 2: Simplify the expression
Subtracting a negative number turns to addition because two negative signs make a positive. It changes our expression to \(-\frac{4}{9} + \frac{1}{9}\).
3Step 3: Perform the Addition
Add the two fractions to get \(-\frac{3}{9}\).
4Step 4: Simplify the fraction
\(-\frac{3}{9}\) simplifies to \(-\frac{1}{3}\) by dividing both numerator and denominator by 3.
Other exercises in this chapter
Problem 33
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