Questions: -1 1/3

Transcript text: -1 \frac{1}{3}

Solution

Solution Steps

Solution Approach

To solve the given problem, we need to convert the mixed number \(-1 \frac{1}{3}\) into an improper fraction and then perform the arithmetic operation with the integer 4.

Step 1: Convert the Mixed Number

The mixed number \(-1 \frac{1}{3}\) can be converted to an improper fraction. This is done by expressing it as: \[ -1 \frac{1}{3} = -\left(1 + \frac{1}{3}\right) = -\frac{3}{3} - \frac{1}{3} = -\frac{4}{3} \]

Step 2: Perform the Arithmetic Operation

Next, we add the integer 4 to the improper fraction: \[ 4 + \left(-\frac{4}{3}\right) = 4 - \frac{4}{3} \] To perform this operation, we convert 4 into a fraction with a common denominator: \[ 4 = \frac{12}{3} \] Thus, we have: \[ \frac{12}{3} - \frac{4}{3} = \frac{12 - 4}{3} = \frac{8}{3} \]

Step 3: Convert to Decimal

The fraction \(\frac{8}{3}\) can also be expressed as a decimal: \[ \frac{8}{3} \approx 2.6667 \]