Write the fraction in lowest terms.
$\frac{5}{25}$
Answer (1)
Find the greatest common divisor (GCD) of the numerator and denominator.
Divide both the numerator and the denominator by their GCD.
Simplify the fraction to its lowest terms.
The fraction 25 5 in its lowest terms is 5 1 .
Explanation
Problem Analysis We are asked to write the fraction 25 5 in its lowest terms. This means we need to simplify the fraction so that the numerator and the denominator have no common factors other than 1.
Finding the Greatest Common Divisor (GCD) To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The numerator is 5 and the denominator is 25.
Determining the GCD The greatest common divisor (GCD) of 5 and 25 is 5, since 5 is a factor of both 5 and 25 (5 = 5 * 1 and 25 = 5 * 5).
Simplifying the Fraction Now, we divide both the numerator and the denominator by their GCD, which is 5. So, we have: 25 ÷ 5 5 ÷ 5 = 5 1
Final Answer Therefore, the fraction 25 5 in its lowest terms is 5 1 .
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 25 5 of a cup of flour, you can simplify this fraction to 5 1 of a cup to make measuring easier. Understanding how to simplify fractions helps in accurately following recipes and managing quantities.
