math help

What is 6/88 + 3/6?

What is 6/88 + 3/6?

Here's how you add

6
88
+
3
6

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 6 by 6, and get 36, then we multiply 88 by 6 and get 528.

6/88 times 6

Now for the second term. You multiply 3 by 88, and get 264, then multiply 88 by 6 and get 528.

3/6 times 88

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

36
528
+
264
528

Step 2

Since our denominators match, we can add the numerators.

36 + 264 = 300

That gives us the sum, which is

300
528

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:

300
528
÷ 2 =
150
264

Now, try the same number again.

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

150
264
÷ 2 =
75
132

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:

75
132
÷ 3 =
25
44

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...

No good. 29 is larger than 25. So we're done reducing.

Congratulations! Here's your final answer to 6/88 + 3/6

6
88
+
3
6
=
25
44
© 2014 Randy Tayler