math help

What is 3/10 + 1/2?

What is 3/10 + 1/2?

This is how you add

3
10
+
1
2

Step 1

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

Since 2 is evenly divided by 10, we can multiply just one term to get a common denominator.

Multiply 1 by 5, and get 5, then we multiply 2 by 5 and get 10.

So now our fractions look like this:

3
10
+
5
10

Step 2

Since our denominators match, we can add the numerators.

3 + 5 = 8

So the answer is:

8
10

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:

8
10
÷ 2 =
4
5

Now, try the same number again.

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

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

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 3/10 + 1/2

3
10
+
1
2
=
4
5
© 2014 Randy Tayler