math help

What is 10/3 + 8/10?

What is 10/3 + 8/10?

This is how we add

10
3
+
8
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 10 by 10, and get 100, then we multiply 3 by 10 and get 30.

10/3 times 10

Now for the second term. You multiply 8 by 3, and get 24, then multiply 3 by 10 and get 30.

8/10 times 3

We now have a new problem, that looks like this:

100
30
+
24
30

Step 2

Since our denominators match, we can add the numerators.

100 + 24 = 124

That gives us the sum, which is

124
30

Step 3

Now, do we need to simplify this fraction?

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

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

124
30
÷ 2 =
62
15

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...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

No good. 17 is larger than 15. So we're done reducing.

Congratulations! Here's your final answer to 10/3 + 8/10

10
3
+
8
10
=
62
15
© 2014 Randy Tayler