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