1.10 Simplifying Fractions |

## Simplifying FractionsSimplifying a fraction is writing a number in its most basic form. Sometimes fractions involve very large numbers in both the numerator (top number) and in the denominator (bottom number). As a general rule, it is easier to work with simpler fractions. So, always simplify. There are three basic rules for simplifying fractions: - Any number written over 1 is that number.
- A fraction can be simplified if the top and bottom numbers can both be divided by the same number, without leaving a remainder.
- If the top number is larger than the bottom number, and neither number can be divided by the same number, divide the top number by the bottom number.
## Example 1Now, let's work through the example below. The questions below will guide you through the process. Simplify: The correct answer is: 7 ## Example 2Simplify Can both the top and bottom numbers can be divided by 2, 3, 5, 7, 9, 11 13, or 17? In firefighter math, checking 2, 3, and 5 is usually all that is required. The correct answer is: Yes Both the numerator and denominator can be divided by 3. Next we need to divide both the numerator and denominator by 3. Enter your results in the appropriate boxes. The new fraction is and if we apply the first rule above equals 2. ## Example 3Simplify Using Rule 3, divide the numerator by the denominator The correct answer of the long division is 1 with a remainder of 5. This can be expressed in a fraction by making 5 the numerator over the original denominator like this: Can be simplified? The correct answer is: No cannot be simplified further.
## Practice1. Simplify Select the correct answer. 2. Simplify Select the correct answer. |