math help

What is 36/4 + 5/10?

What is 36/4 + 5/10?

This is how to add

36
4
+
5
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 36 by 10, and get 360, then we multiply 4 by 10 and get 40.

36/4 times 10

Now for the second term. You multiply 5 by 4, and get 20, then multiply 4 by 10 and get 40.

5/10 times 4

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

360
40
+
20
40

Step 2

Since our denominators match, we can add the numerators.

360 + 20 = 380

That gives us the sum, which is

380
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:

380
40
÷ 2 =
190
20

Now, try the same number again.

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

190
20
÷ 2 =
95
10

Now, try the same number again.

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

95
10
÷ 5 =
19
2

Now, try the same number again.

No good. 5 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 36/4 + 5/10

36
4
+
5
10
=
19
2
© 2014 Randy Tayler