math help

What is 64/4 + 1/10?

What is 64/4 + 1/10?

This is how you add

64
4
+
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 4 by 10 and get 40.

64/4 times 10

Now for the second term. You multiply 1 by 4, and get 4, then multiply 4 by 10 and get 40.

1/10 times 4

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

640
40
+
4
40

Step 2

Since our denominators match, we can add the numerators.

640 + 4 = 644

That gives us the sum, which is

644
40

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:

644
40
÷ 2 =
322
20

Now, try the same number again.

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

322
20
÷ 2 =
161
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 64/4 + 1/10

64
4
+
1
10
=
161
10
© 2014 Randy Tayler