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Adding and Subtracting Fractions with Like Denominators

Example 1

Adding Fractions with Like Denominators

Write as a sum over a common denominator.

Add the numerators.

Simplify the fraction.

Example 2

Subtracting Fractions with Like Denominators

Write as a difference over a common denominator.

Subtract the numerators.

Simplify the fraction.

 

Use the same rule when adding or subtracting three or more fractions with like denominators.

Example 3

Real-Life Application

FOREST FIRES

A forest fire advances mile during the first hour, mile during the second hour, and mile during the third hour. How far does the forest fire advance in the first three hours?

Solution

Add the numerators.

Write as a sum over a common denominator.

The forest fire advances or miles.