math help

What is 64/16 + 2/3?

What is 64/16 + 2/3?

Let's add

64
16
+
2
3

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 3, and get 192, then we multiply 16 by 3 and get 48.

64/16 times 3

Now for the second term. You multiply 2 by 16, and get 32, then multiply 16 by 3 and get 48.

2/3 times 16

This gives us a new problem that looks like so:

192
48
+
32
48

Step 2

Since our denominators match, we can add the numerators.

192 + 32 = 224

So what's the answer so far?

224
48

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:

224
48
÷ 2 =
112
24

Now, try the same number again.

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

112
24
÷ 2 =
56
12

Now, try the same number again.

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

56
12
÷ 2 =
28
6

Now, try the same number again.

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

28
6
÷ 2 =
14
3

Now, try the same number again.

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

Nope. Try the next prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 64/16 + 2/3

64
16
+
2
3
=
14
3
© 2014 Randy Tayler