Equivalent Fractions

Equal fractions with different denominators are called equivalent fractions.

Remember that the Multiplication Property of One states that the product of a number and one is the same number.  This is true for fractions as well as whole numbers.  This property can be used to write equivalent fractions, where any fraction whose numerator and denominator are the same equals 1, then

where $\frac{3}{3}$ equals 1

Multiplying by a fraction equivalent to 1 can be used to find an equivalent fraction with a desired denominator.

Example

Find a fraction equivalent to 1/6 that has a denominator of 24

Simplify Fractions

A fraction is in simplest form when there are no common factors in the numerator and the denominator.

There is more than one way to reduce a fraction to its simplest form.

Try it yourself

Express the shaded portion of the circle as a fraction.

1.)

2.)

3.)

4.)

Express the shaded portion of the circles as a mixed number.

5.)

6.)

Express the shaded portion of the circles as an improper fraction.

7.)

8.)

Write an equivalent fraction with the given denominator.

9.) $\frac{1}{2}=\frac{}{10}$

10.) $\frac{7}{10}=\frac{}{90}$

11.) $\frac{3}{8}=\frac{}{408}$

12.) $\frac{9}{25}=\frac{}{1000}$

13.) 7 $=\frac{}{3}$

Write each fraction in simplest form.

14.) $\frac{10}{16}$   

15.) $\frac{15}{20}$

16.) $\frac{36}{16}$

17.) $\frac{80}{45}$