Question

Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{24}+\frac{5}{24}$$

Short answer

Answer: The result of adding \(\frac{1}{24}\) and \(\frac{5}{24}\) is \(\frac{1}{4}\).

Step-by-step solution

Add the Numerators

Since the denominators of both fractions are \(24\), add the numerators: $$\frac{1 + 5}{24}$$

Perform the Operation

Add the numerators: $$\frac{6}{24}$$

Simplify the Fraction

Find the greatest common divisor (GCD) of the numerator and the denominator, which is \(6\). Then, divide both the numerator and the denominator by the GCD: $$\frac{6 \div 6}{24 \div 6}$$

Write the Result in the Lowest Terms

Write the simplified fraction: $$\frac{1}{4}$$ So, the result of the given operation is \(\frac{1}{4}\).