Fractions

Knowledge of the basic arithmetic operations on fractions is very important to both everyday life and future algebra courses.

In those courses, students are expected to add, subtract, multiply and divide rational expressions, which are algebraic expressions that are fractional in form.

Recall that each fraction is made up of a numerator (the top part) and a denominator (the bottom part).

 

Addition/Subtraction of Fractions

Express each fraction in terms of a common denominator; then, add or subtract the numerators as dictated in the problem.

Don’t forget to reduce to lowest terms when finished.

Click on the link below to see example 1_8_2 in a new window. When you are finished close the window to return to the lesson.

Example 1_8_2

$\frac{1}{2}+\frac{1}{3}$ and $\frac{5}{6}-\frac{1}{3}$

 

Multiplication of Fractions

Multiply numerator with numerator, and denominator with denominator. Finish by reducing to lowest terms.

Click on the link below to see example 1_8_3 in a new window. When you are finished close the window to return to the lesson.

Example 1_8_3

$\frac{2}{3}·\frac{3}{4}$

 

Division of Fractions

To divide fractions, find the reciprocal of the divisor (that is, invert numerator and denominator) and change from a division sign to multiplication. If necessary, reduce to lowest terms.

Click on the link below to see example 1_9 in a new window. When you are finished close the window to return to the lesson.

Example 1_9

$\frac{3}{4}÷\frac{7}{2}$ and $\frac{7}{9}÷\frac{2}{3}$

 

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