## How to change Fractions to have the same value...

Equivalent fractions are when you have 2 fractions that are equal to the same PART of a WHOLE.

The diagram below is a visual example to show you that 1/2, 2/4 and 4/8 represent the same value:

The diagram below is a visual example to show you that 1/2, 2/4 and 4/8 represent the same value:

This will not be possible with all fractions, but you can see here the multiples of 2, 3, 4 & 5:

Fractions the same as 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, etc -->

Fractions the same as 1/3 are 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, etc -->

Fractions the same as 1/4 are 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, etc -->

Fractions the same as 1/5 are 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, etc -->

Can you see the pattern that has come out of this? Can you see how important it is to know the times tables?

Fractions the same as 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, etc -->

**denominator is a multiple of 2**Fractions the same as 1/3 are 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, etc -->

**denominator is a multiple****of 3**Fractions the same as 1/4 are 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, etc -->

**denominator is a multiple****of 4**Fractions the same as 1/5 are 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, etc -->

**denominator is a multiple****of 5**Can you see the pattern that has come out of this? Can you see how important it is to know the times tables?

**For some really cool examples with pictures have a look at this website:****http://www.coolmath4kids.com/fractions/fractions-04-equivalent-01.html**

**Activity - Number Line & Fractions**

*Materials Needed:*

**Numberline (0-1)*

**Card paper*

**Scissors*

*Lead pencil

*Coloured pencils

*Lead pencil

*Coloured pencils

**Glue*

In groups, each person is to select 6 fractions that they will write and draw together on some card. Cut up the 6 fractions, and swap them with someone in the group. Then work with each other to figure out where on the number line provided the fraction is to be placed.

**Please load up this link to test yourself with equivalent fractions:**

**http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html?from=grade_g_2.html**