math help

What is 30/50 + 6/11?

What is 30/50 + 6/11?

This is how to add

30
50
+
6
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 30 by 11, and get 330, then we multiply 50 by 11 and get 550.

30/50 times 11

Now for the second term. You multiply 6 by 50, and get 300, then multiply 50 by 11 and get 550.

6/11 times 50

This gives us a new problem that looks like so:

330
550
+
300
550

Step 2

Since our denominators match, we can add the numerators.

330 + 300 = 630

That gives us an answer of

630
550

Step 3

Can this fraction be reduced?

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
550
÷ 2 =
315
275

Now, try the same number again.

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

315
275
÷ 5 =
63
55

Now, try the same number again.

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...

No good. 59 is larger than 55. So we're done reducing.

Congratulations! Here's your final answer to 30/50 + 6/11

30
50
+
6
11
=
63
55
© 2014 Randy Tayler