math help

What is 57/7 + 4/11?

What is 57/7 + 4/11?

This is how you add

57
7
+
4
11

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 57 by 11, and get 627, then we multiply 7 by 11 and get 77.

57/7 times 11

Now for the second term. You multiply 4 by 7, and get 28, then multiply 7 by 11 and get 77.

4/11 times 7

We now have a new problem, that looks like this:

627
77
+
28
77

Step 2

Since our denominators match, we can add the numerators.

627 + 28 = 655

That gives us the sum, which is

655
77

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

No good. 79 is larger than 77. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 4/11

57
7
+
4
11
=
655
77
© 2014 Randy Tayler