math help

What is 5/6 + 10/12?

What is 5/6 + 10/12?

Here's how you add

5
6
+
10
12

Step 1

Now we need to make our denominators match.

12 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 6 by 2 and get 12.

This gives us a new problem that looks like so:

10
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

10 + 10 = 20

That gives us an answer of

20
12

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:

20
12
÷ 2 =
10
6

Let's try dividing by that again...

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

10
6
÷ 2 =
5
3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 5/6 + 10/12

5
6
+
10
12
=
5
3
© 2014 Randy Tayler