math help

What is 48/30 + 2/11?

What is 48/30 + 2/11?

Here's how to add

48
30
+
2
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 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 2 by 30, and get 60, then multiply 30 by 11 and get 330.

2/11 times 30

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

528
330
+
60
330

Step 2

Since our denominators match, we can add the numerators.

528 + 60 = 588

Answer:

588
330

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:

588
330
÷ 2 =
294
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:

294
165
÷ 3 =
98
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 + 2/11

48
30
+
2
11
=
98
55
© 2014 Randy Tayler