math help

What is 64/4 + 4/11?

What is 64/4 + 4/11?

This is how to add

64
4
+
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 64 by 11, and get 704, then we multiply 4 by 11 and get 44.

64/4 times 11

Now for the second term. You multiply 4 by 4, and get 16, then multiply 4 by 11 and get 44.

4/11 times 4

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

704
44
+
16
44

Step 2

Since our denominators match, we can add the numerators.

704 + 16 = 720

Answer:

720
44

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:

720
44
÷ 2 =
360
22

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:

360
22
÷ 2 =
180
11

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. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 64/4 + 4/11

64
4
+
4
11
=
180
11
© 2014 Randy Tayler