math help

What is 5/3 + 2/6?

What is 5/3 + 2/6?

This is how you add

5
3
+
2
6

Step 1

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

Since 3 is evenly divided by 6, we can multiply just one term to get a common denominator.

Multiply 5 by 2, and get 10, then we multiply 3 by 2 and get 6.

5/3 times 2

So now our fractions look like this:

10
6
+
2
6

Step 2

Since our denominators match, we can add the numerators.

10 + 2 = 12

So the answer is:

12
6

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

12
6
÷ 2 =
6
3

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

6
3
÷ 3 =
2
1

Now, try the same number again.

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 5/3 + 2/6

5
3
+
2
6
=
2
1
= 2
© 2014 Randy Tayler