Write each fraction in lowest terms. 8/16

Verified step by step guidance

1. Identify the greatest common divisor (GCD) of the numerator and the denominator. In this case, find the GCD of 8 and 16.
2. Divide both the numerator and the denominator by their GCD.
3. Simplify the fraction by performing the division.
4. Check if the resulting fraction can be simplified further.
5. If no further simplification is possible, the fraction is now in its lowest terms.

Key Concepts

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the top number and the denominator is the bottom number. Understanding fractions is essential for performing operations such as addition, subtraction, multiplication, and division, as well as simplifying them to their lowest terms.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, one must divide both the numerator and denominator by their greatest common divisor (GCD). This process ensures that the fraction is expressed in its simplest form, making it easier to understand and work with.

Greatest Common Divisor (GCD)

The greatest common divisor (GCD) of two integers is the largest positive integer that divides both numbers without leaving a remainder. Finding the GCD is crucial for simplifying fractions, as it allows one to reduce the fraction to its lowest terms by dividing both the numerator and denominator by the GCD.