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Chapter 4: Problem 7

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

Short Answer

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

Step by step solution

01

Add the Numerators

Since the denominators of both fractions are \(24\), add the numerators: $$\frac{1 + 5}{24}$$
02

Perform the Operation

Add the numerators: $$\frac{6}{24}$$
03

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: $$\frac{6 \div 6}{24 \div 6}$$
04

Write the Result in the Lowest Terms

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

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