math help

What is 100/24 + 4/11?

What is 100/24 + 4/11?

This is how to add

100
24
+
4
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 100 by 11, and get 1100, then we multiply 24 by 11 and get 264.

100/24 times 11

Now for the second term. You multiply 4 by 24, and get 96, then multiply 24 by 11 and get 264.

4/11 times 24

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

1100
264
+
96
264

Step 2

Since our denominators match, we can add the numerators.

1100 + 96 = 1196

Answer:

1196
264

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:

1196
264
÷ 2 =
598
132

Now, try the same number again.

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

598
132
÷ 2 =
299
66

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...

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...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

No good. 67 is larger than 66. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 4/11

100
24
+
4
11
=
299
66
© 2014 Randy Tayler