math help

What is 10/11 + 4/7?

What is 10/11 + 4/7?

Here's how we add

10
11
+
4
7

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 10 by 7, and get 70, then we multiply 11 by 7 and get 77.

10/11 times 7

Do the same for the second term. We multiply 4 by 11, and get 44, then multiply 11 by 7 and get 77.

4/7 times 11

So now our fractions look like this:

70
77
+
44
77

Step 2

Since our denominators match, we can add the numerators.

70 + 44 = 114

So the answer is:

114
77

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. 79 is larger than 77. So we're done reducing.

And we're done! Here's the final answer to 10/11 + 4/7

10
11
+
4
7
=
114
77
© 2014 Randy Tayler