In this video you will learn how to solve one step equations containing fractions.
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In this video I would like work one step equations that involve fractions.
Lets go ahead and jump right in.
Problem 1 2/7x = 3/4
Step one is to isolate the variable.
In order to isolate the variable we can divide by 2/7
We will divide 2/7 by 2/7 and we know that whatever we do to one side of the equation we must complete on the other side.
We now have 2/4 divided by 2/7 on the other side.
The 2/7 will cancel and we are left with x = 3/4 divided by 2/7
A trick we can use with dividing fractions is Keep Change Flip
I will the first fraction,change the sign, and flip the last fraction.
I now just multiply across 3 x 7 = 21, and 4 x 2 = 8
If you would like you can convert this to a mixed fraction we can take 21 and divide by 8
8 will go into 21 2 times and that leaves us with 5/8 leftover which equals 2 5/8
Problem 2 We have x divided by 3/8 = 1 1/4
Step 1 Is to get x by itself, and in order to undo the multiplication we will divide by 1 3/8
We are left with x = 11/4 divided by 13/8
These will cancel so we are left with x = 1 1/4 x 1 3/8
In order to make this mixed fraction easier to work with I will convert it to an improper fraction.
4 x 1 = 4 + 1 = 5 over 4 and 8 x 1 = 8 + 3 = 11 /8
Now I can just multiply straight across.
5 x 11 = 55 and 4 x 8 = 32
I can now convert it to a mixed fraction by dividing 55 by 32 which equals 1 and 55 - 32 = 23 over 32
So there is your answer to that one step equation.
Finally problem 3.
3/5x = 6
I need to get the x by itself.
I now that when the fraction is sitting right next to the x it indicates multiplication.
In order to undo multiplication I will divide by 3/5
One I complete to one side I must complete on the other.
6 divided by 3/5
These 3/5 cancel and x = 6 divided by 3/5
I will use keep change flip
6/1 change the sign and flip 3/5 to 5/3
I now just multiply straight across, and 6 x 5 = 30
1 x 3 = 3
30 divided by 3 = 10
Hope the examples of one step equations with fractions was helpful.
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Tagged under: step equations,equations,math,homework,solve,moomoomath,linear,fractions,basic
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