__Objective:__

At the end of the lesson, students should be able to find equivalent fractions.

**Equivalent fractions** are fractions that have the same value but their numbers are different. Example

__Understanding Equivalent Fractions__

The best way to think about equivalent fractions is that they are fractions that have the same overall value. For example, if we cut a pizza into two equal pieces, one piece is the same as one half of the pizza.

And if another pizza of the same size is cut into 4 equal pieces, then two pieces of that pizza is the same size as the half of the first pizza.

And if another pizza of the same size is cut into 8 equal pieces, then four pieces of that pizza is the same size as the half of the first pizza.

These fractions have the same value even though they appear as different numbers.

The starting fraction is^{ 1/}_{2 }which is called half. When you take a close look at the other fractions, you will find out that the numerator (top number) is half of the denominator (bottom number).

__Example 1__

These two fractions look different but they have the same value. When they are both reduced to their lowest terms, they give the same answer.

So from the above, the two different fractions have the same value. These two fractions, ^{4/}** _{8}** and

__Example 2__

Find the missing number.

^{ 2/}_{6} = ^{?/}_{18 }

__Solution__

First we need to find the relation between 6 and 18.

6 multiplied by 3 will give 18.

To confirm the mathematical statement, you can reduce each fraction to its lowest term and find out if you will arrive at the same value.

__Example 3__

Make four fractions that are equivalent to 2/5 by multiplying the numerator and denominator by the same number.

__Solution__

Lesson Content

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