math help

What is 48/30 + 8/11?

What is 48/30 + 8/11?

This is how to add

48
30
+
8
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 48 by 11, and get 528, then we multiply 30 by 11 and get 330.

48/30 times 11

Now for the second term. You multiply 8 by 30, and get 240, then multiply 30 by 11 and get 330.

8/11 times 30

This gives us a new problem that looks like so:

528
330
+
240
330

Step 2

Since our denominators match, we can add the numerators.

528 + 240 = 768

That gives us an answer of

768
330

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:

768
330
÷ 2 =
384
165

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

384
165
÷ 3 =
128
55

Now, try the same number again.

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...

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

Congratulations! Here's your final answer to 48/30 + 8/11

48
30
+
8
11
=
128
55
© 2014 Randy Tayler