math help

What is 100/24 + 4/5?

What is 100/24 + 4/5?

Here's how to add

100
24
+
4
5

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 5, and get 500, then we multiply 24 by 5 and get 120.

100/24 times 5

Now for the second term. You multiply 4 by 24, and get 96, then multiply 24 by 5 and get 120.

4/5 times 24

This gives us a new problem that looks like so:

500
120
+
96
120

Step 2

Since our denominators match, we can add the numerators.

500 + 96 = 596

So what's the answer so far?

596
120

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:

596
120
÷ 2 =
298
60

Now, try the same number again.

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

298
60
÷ 2 =
149
30

Now, try the same number again.

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

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...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 4/5

100
24
+
4
5
=
149
30
© 2014 Randy Tayler