math help

What is 50/8 + 10/11?

What is 50/8 + 10/11?

This is how you add

50
8
+
10
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 50 by 11, and get 550, then we multiply 8 by 11 and get 88.

50/8 times 11

Now for the second term. You multiply 10 by 8, and get 80, then multiply 8 by 11 and get 88.

10/11 times 8

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

550
88
+
80
88

Step 2

Since our denominators match, we can add the numerators.

550 + 80 = 630

That gives us the sum, which is

630
88

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

630
88
÷ 2 =
315
44

Now, try the same number again.

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...

No good. 47 is larger than 44. So we're done reducing.

Congratulations! Here's your final answer to 50/8 + 10/11

50
8
+
10
11
=
315
44
© 2014 Randy Tayler

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