Friday th 12 February Equivalent Fractions Equivalent Fractions

Friday th 12 February Equivalent Fractions

$Equivalent Fractions. Yesterday we learnt that some fractions that are written with different numbers$

Equivalent Fractions. Yesterday we learnt that some fractions that are written with different numbers have the same value. In other words, a fraction can be written in many different ways, but have the same value. We call these equivalent fractions. 1 2 2 4 Yesterday we concentrated on halves, quarters and eighths, but today we will move onto thirds, sixths and ninths.

This time you will need smaller squared paper, which can be printed from today’s resources. You will need to draw a rectangle 36 squares across and 10 squares high. Draw lines across to create rows that are 2 squares high. The top row is for 1, the whole thing, so that will be 36 squares across. We are going to use the second row for thirds. 36 squares divided by 3 is 12, so each third will take up 12 squares. 1 1 3 3 3

$Now we are going to add the sixths into our fraction wall. Each third$

Now we are going to add the sixths into our fraction wall. Each third takes up 12 squares. One sixth is half of one third. How many squares will each sixth take up? Half of 12 squares is 6 squares. 1 1 6 1 1 1 3 3 3 1 1 1 6 6 6

$Now we are going to add ninths into our fraction wall. Each third takes$

Now we are going to add ninths into our fraction wall. Each third takes up 12 squares. One ninth is one third of one third. (One third of a number is that number divided by 3). How many squares will each ninth take up? 12 squares ÷ 3 = 4 squares. 1 1 6 1 1 1 3 3 3 1 1 1 6 6 1 1 1 1 6 1 9 9 9 9 9

$Can you work out how to add the twelfths into the fraction wall? 1$

Can you work out how to add the twelfths into the fraction wall? 1 1 3 3 3 1 6 1 1 1 6 6 1 1 1 1 6 1 9 9 9 9 1 1 1 1 12 12 1 1 1 9 1 12 12

$Now use this to find as many fractions as you can that are equivalent$

Now use this to find as many fractions as you can that are equivalent to: Can you describe any patterns in the numbers in each set of equivalent fractions? How many fractions can you think of that are 1 equivalent to 3 that are not on this fraction wall?