math help

What is 64/4 + 2/11?

What is 64/4 + 2/11?

Here's how we add

64
4
+
2
11

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 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 2 by 4, and get 8, then multiply 4 by 11 and get 44.

2/11 times 4

This gives us a new problem that looks like so:

704
44
+
8
44

Step 2

Since our denominators match, we can add the numerators.

704 + 8 = 712

That gives us an answer of

712
44

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:

712
44
÷ 2 =
356
22

Let's try dividing by that again...

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

356
22
÷ 2 =
178
11

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 64/4 + 2/11

64
4
+
2
11
=
178
11
© 2014 Randy Tayler