math help

What is 64/16 + 1/10?

What is 64/16 + 1/10?

Here's how to add

64
16
+
1
10

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 10, and get 640, then we multiply 16 by 10 and get 160.

64/16 times 10

Now for the second term. You multiply 1 by 16, and get 16, then multiply 16 by 10 and get 160.

1/10 times 16

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

640
160
+
16
160

Step 2

Since our denominators match, we can add the numerators.

640 + 16 = 656

Answer:

656
160

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:

656
160
÷ 2 =
328
80

Now, try the same number again.

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

328
80
÷ 2 =
164
40

Now, try the same number again.

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

164
40
÷ 2 =
82
20

Now, try the same number again.

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

82
20
÷ 2 =
41
10

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...

Nope. Try the next prime number, 11...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 64/16 + 1/10

64
16
+
1
10
=
41
10
© 2014 Randy Tayler