math help

What is 100/50 + 3/10?

What is 100/50 + 3/10?

This is how you add

100
50
+
3
10

Step 1

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

50 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 5, and get 15, then we multiply 10 by 5 and get 50.

3/10 times 5

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

100
50
+
15
50

Step 2

Since our denominators match, we can add the numerators.

100 + 15 = 115

Answer:

115
50

Step 3

Now, do we need to simplify this fraction?

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

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

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

115
50
÷ 5 =
23
10

Now, try the same number again.

Nope. Try the next prime number, 7...

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

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 100/50 + 3/10

100
50
+
3
10
=
23
10
© 2014 Randy Tayler