math help

What is 64/16 + 2/11?

What is 64/16 + 2/11?

This is how you add

64
16
+
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 16 by 11 and get 176.

64/16 times 11

Now for the second term. You multiply 2 by 16, and get 32, then multiply 16 by 11 and get 176.

2/11 times 16

This gives us a new problem that looks like so:

704
176
+
32
176

Step 2

Since our denominators match, we can add the numerators.

704 + 32 = 736

So what's the answer so far?

736
176

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:

736
176
÷ 2 =
368
88

Let's try dividing by that again...

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

368
88
÷ 2 =
184
44

Let's try dividing by that again...

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

184
44
÷ 2 =
92
22

Let's try dividing by that again...

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

92
22
÷ 2 =
46
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 64/16 + 2/11

64
16
+
2
11
=
46
11
© 2014 Randy Tayler