math help

What is 100/24 + 6/7?

What is 100/24 + 6/7?

Here's how we add

100
24
+
6
7

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 100 by 7, and get 700, then we multiply 24 by 7 and get 168.

100/24 times 7

Now for the second term. You multiply 6 by 24, and get 144, then multiply 24 by 7 and get 168.

6/7 times 24

This gives us a new problem that looks like so:

700
168
+
144
168

Step 2

Since our denominators match, we can add the numerators.

700 + 144 = 844

That gives us an answer of

844
168

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:

844
168
÷ 2 =
422
84

So far so good... let's try to divide by that number again.

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

422
84
÷ 2 =
211
42

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. 43 is larger than 42. So we're done reducing.

And we're done! Here's the final answer to 100/24 + 6/7

100
24
+
6
7
=
211
42
© 2014 Randy Tayler