math help

What is 4/5 + 6/10?

What is 4/5 + 6/10?

Here's how we add

4
5
+
6
10

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 4 by 2, and get 8, then we multiply 5 by 2 and get 10.

This gives us a new problem that looks like so:

8
10
+
6
10

Step 2

Since our denominators match, we can add the numerators.

8 + 6 = 14

That gives us an answer of

14
10

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:

14
10
÷ 2 =
7
5

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 5. So we're done reducing.

Congratulations! Here's your final answer to 4/5 + 6/10

4
5
+
6
10
=
7
5
© 2014 Randy Tayler