math help

What is 6/88 + 5/10?

What is 6/88 + 5/10?

Here's how we add

6
88
+
5
10

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 6 by 10, and get 60, then we multiply 88 by 10 and get 880.

6/88 times 10

Now for the second term. You multiply 5 by 88, and get 440, then multiply 88 by 10 and get 880.

5/10 times 88

This gives us a new problem that looks like so:

60
880
+
440
880

Step 2

Since our denominators match, we can add the numerators.

60 + 440 = 500

So what's the answer so far?

500
880

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:

500
880
÷ 2 =
250
440

Now, try the same number again.

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

250
440
÷ 2 =
125
220

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:

125
220
÷ 5 =
25
44

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...

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

Congratulations! Here's your final answer to 6/88 + 5/10

6
88
+
5
10
=
25
44
© 2014 Randy Tayler