Questions: Perform the indicated operation. Express your answer in lowest terms. 3/24 - 11/24 3/24 - 11/24 = (Type an integer or a fraction in lowest terms.)

$Perform the indicated operation. Express your answer in lowest terms. 3/24 - 11/24 3/24 - 11/24 = (Type an integer or a fraction in lowest terms.)$

Transcript text: Perform the indicated operation. Express your answer in lowest terms. \[ \begin{array}{l} \frac{3}{24}-\frac{11}{24} \\ \frac{3}{24}-\frac{11}{24}= \end{array} \] (Type an integer or a fraction in lowest terms.)

Solution

Solution Steps

To solve the given problem, we need to perform the subtraction of two fractions with the same denominator. Since the denominators are the same, we can directly subtract the numerators and keep the denominator unchanged. After obtaining the result, we simplify the fraction to its lowest terms.

Step 1: Define the Fractions

We start with the fractions given in the problem: \[ \frac{3}{24} \quad \text{and} \quad \frac{11}{24} \]

Step 2: Perform the Subtraction

Since both fractions have the same denominator, we can subtract the numerators directly: \[ \frac{3}{24} - \frac{11}{24} = \frac{3 - 11}{24} = \frac{-8}{24} \]

Step 3: Simplify the Result

Next, we simplify the fraction $\frac{-8}{24}$ to its lowest terms. The greatest common divisor (GCD) of 8 and 24 is 8, so we divide both the numerator and the denominator by 8: \[ \frac{-8 \div 8}{24 \div 8} = \frac{-1}{3} \]