math help

What is 3/8 + 10/11?

What is 3/8 + 10/11?

Here's how we add

3
8
+
10
11

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 11, and get 33, then we multiply 8 by 11 and get 88.

3/8 times 11

Do the same for the second term. We multiply 10 by 8, and get 80, then multiply 8 by 11 and get 88.

10/11 times 8

So now our fractions look like this:

33
88
+
80
88

Step 2

Since our denominators match, we can add the numerators.

33 + 80 = 113

So the answer is:

113
88

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. 89 is larger than 88. So we're done reducing.

And we're done! Here's the final answer to 3/8 + 10/11

3
8
+
10
11
=
113
88
© 2014 Randy Tayler

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