This document contains instructions for performing basic arithmetic operations with fractions such as addition, subtraction, multiplication, and division. It provides examples of how to add, subtract, multiply, and divide fractions with the same or different denominators by finding common denominators or multiplying/dividing numerators and denominators. The key steps involved are finding common denominators, adding/subtracting numerators, and multiplying/dividing numerators and denominators.

1. Fraction
By Charles

2. ADDITION WITH
FRACTIONS
Adding fractions are actually not that difficult if you get
the hang of it. It’s basically adding numbers, except it’s
a bit more complicated.
Let’s add 2/5 and 1/5. to do this you just have to add 2
and 1 which equals 3. and that 3 can go in to 5 so the
final answer is 3/5.

3. ADDITION WITH
FRACTIONS 2
But what happens when you add two numbers that can’t
fit in the denominator? Well, let’s use an example, 2/4
plus 3/4. first you add 2 and 3 which equals 5. 5 cannot fit
in 4, so from that 5 you have to minus 4, but theres still a
remainder of 1. So you take that 1 and and use it as the
numerator for this fraction. and than you put another 1
next to that fraction because remember when we minused
4 from that 5? Well, because you can only minus 4 from 5
one time, you put one 1 next to that fraction so it becomes
sort of a mixed fraction. So the final answer should look
like this: 1 1/4 or one and one-fourth.

4. ADDITION WITH
FRACTIONS 3
This page is sort of related to the last one because this is
something that happens when the fractions your
adding fit perfectly into your denominator. Let’s use an
example, 1/3 and 2/3. first you have to add the
numerators, which equals 3. but 3 goes perfectly into
the denominator which is 3 once, so all you have to do
is write 1 since 3 goes into 3 once

5. ADDITION WITH
FRACTIONS 4
This page is for adding fractions with a different denominator.
let’s use the fractions 1/3 and 3/4. First we have to find the
lowest common factor, which in this case is 12. Now, we have
multiply both of the denominators by a number to get 12. So
1/3 becomes 1/12, and 2/4 becomes 2/12. But what we do to
the denominator, we must do to the numerator, so...
1/12 = 4/12
2/12 = 6/12
And now all you have to do is add the numerators. Ao 4 plus 6
equals 10. So the answer is 10/12, but we can simplify this
fraction so it becomes 5/6.

6. SUBTRACTION WITH
FRACTIONS
This is basically the same as adding fractions except
now we are subtracting the fractions. Subtracting has
the same concept as normal subtraction, the only
difference is you just you use it on the numerator. so
let’s use the fractions 3/4 and 1/4. All you have to do
is minus 3 and 1 which equals 2. so the answer is 2/4.

7. SUBTRACTION WITH
FRACTIONS 2
This page is for subtracting fractions with different
denominators. To do this you still have to find the lowest
common denominator. Let’s use an example, like 4/5
subtracted by 1/2. The lowest common denominator for this is
10. so we multiply both numbers until they reach the multiple
of 15. but what we do to the denominator, we do to the
numerator. So:
4/5 = 8/10
1/2 = 5/10
Then, we just subtract the numerators. so 8 minus 5 equals 3. So
the answer is 3/10.

8. MULTIPLICATION WITH
FRACTIONS
This is the page for multiplying fractions. When you
multiply fractions, the denominator doesn’t really
matter. So let’s start with multiplying the fraction 2/3
by 1/4. To do this, all you have to do is just multiply
the denominators and the numerators.
2 x 1=2
3 x 4=12
So the answer is 2/12, but we can simplify it so it
becomes 1/6.

9. MULTIPLICATION WITH
FRACTIONS 2
This page is for multiplying 3 fractions. let’s use the
fractions 2/3, 3/4, and 1/2. so it’s basically the same
thing. let’s multiply now!
2 x 3 x 1=6
3 x 4 x 2=24
So the answer is 6/24 but we can simplify it so it
becomes 1/4.

10. DIVIDING WITH
FRACTIONS
To divide a fraction is basically the same as
multiplying one. let’s divide the fraction 1/3 and 2/4.
to do this, you basically only have to multiply, but
first, you have to switch the second fraction(it doesn’t
really matter which order these fractions are in)
upside-down! So now let’s multiply!
1 x 4=4
3 x 2=6
so the answer is 4/6, but we can simplify it so it
becomes 2/3.

11. DIVIDING WITH
FRACTIONS 2
This page is for dividing 3 fractions. So let’s divide
the fractions 1/3, 3/4, 1/2. To do this, you have to
flip all the numerators and the denominators instead
of the first fraction(even if you had to divide a
hundred fractions). So let’s multiply(once more)!
1 x 4 x 2=8
3 x 3 x 1=9
So the final answer is 8/9, because we can’t simplify.