How To Solve Fraction Equations
Fractions are a very important part in maths and it helps young children to understand things better. It is very easy and simple to do, also great fun.
In this video, I am going to teach you how to solve fraction equations. Okay, a fraction looks something like this 3/4 which means three divided by four or it is something like this which is 2/3 which means two divided by three. Now, this is called the numerator, this is called the denominator.
So, step one: How to add? Let us say we have 1/2 plus 1/3. Now, what does this actually mean? I like to think this as a pie, half a pie plus one third. This is one half, this is one third.
So, how much of a pie is this? So, to do this, you need to find a common denominator here, you need to find a common number with two as a factor of this number and three as a factor of this number. Now, I can see it as six. How do I find out this is six? I did this, two times three equals to six.
So, I need to find out this in terms of six and this in terms of six. So, to do that, I multiplied this number two by three, so it's six. So if I multiply the bottom of this fraction by three and I multiply the top by three, so we have three which is three times one divided by six, so one half is the same as three six and the same here.
I am going to multiply three by two to make six, so two times one is two and two times three is six, now I have three six and two six. This is three six and this two six, so how many six is that? Well, that is five six. I have three plus two is five and leave the denominator as it is.
Step two: How to subtract? Now, subtracting fractions is exactly the same as adding fractions except for a minus sign in the middle. So, you need to minus the numerators. So, in this case, I am going to do three quarters minus two thirds.
Once again, we need to find the common denominator. How do we do that? Four times three is equal to twelve, so I need to multiply this fraction four times three is twelve, so I need to multiply this fraction by three, so three times three is nine and three times four is twelve. Now, I want a common denominator.
I am going to do exactly the same to this thing, four times three is twelve, so I need to multiply this fraction by four. Four times two is eight, four times three is obviously twelve. So, now, we have our common denominator and all we need to do now is the only difference between adding and subtracting is now we subtract the numerators.
So, as we all know, nine minus eight is one, you keep the denominator the same, we have one twelfth. Step three: How to multiply fractions? This is the easiest of all. So, step three, multiply.
So, we are going to take again three out of four and this time, we are going to multiply by two third. How do we do this? This is dead easy. You multiply the top numbers together and you multiply the bottom numbers together.
Three times two is six, four time three is twelve. Now, six twelfth can actually be cancelled. If you had six twelfths, it means you have got, six goes into six once and six goes into twelve twice.
If you divide this top and bottom by six, we get here one over two. So, six twelfth is exactly the same as one half. Now, step four: How to divide fractions? This is as simple as multiplying but there is one more step.
So, step four, divide. This time, I am going to divide three quarters by two thirds. Okay, so we have three quarters.
I am going to divide by two thirds. This is very similar to multiplying but you must do one step first. You take the second fraction only and flip it upside down.
Okay, so I am going to do that, I am going to write three quarters, I am going to flip this one upside down, so now it looks like three over two and all you do is change this divide to multiply. So, we know how to multiply fractions, we just did it. So, we know how three times three is nine, and four times two is eight.
So, the answer, a nine eight, and that is how to solve fraction equations.