math help

What is 10/6 + 5/12?

What is 10/6 + 5/12?

Here's how you add

10
6
+
5
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 10 by 2, and get 20, then we multiply 6 by 2 and get 12.

10/6 times 2

This gives us a new problem that looks like so:

20
12
+
5
12

Step 2

Since our denominators match, we can add the numerators.

20 + 5 = 25

That gives us an answer of

25
12

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

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

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

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

10
6
+
5
12
=
25
12
© 2014 Randy Tayler