math help

What is 64/16 + 5/6?

What is 64/16 + 5/6?

Here's how to add

64
16
+
5
6

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 6, and get 384, then we multiply 16 by 6 and get 96.

64/16 times 6

Now for the second term. You multiply 5 by 16, and get 80, then multiply 16 by 6 and get 96.

5/6 times 16

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

384
96
+
80
96

Step 2

Since our denominators match, we can add the numerators.

384 + 80 = 464

Answer:

464
96

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:

464
96
÷ 2 =
232
48

Now, try the same number again.

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

232
48
÷ 2 =
116
24

Now, try the same number again.

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

116
24
÷ 2 =
58
12

Now, try the same number again.

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

58
12
÷ 2 =
29
6

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...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 64/16 + 5/6

64
16
+
5
6
=
29
6
© 2014 Randy Tayler