math help

What is 100/50 + 2/5?

What is 100/50 + 2/5?

This is how we add

100
50
+
2
5

Step 1

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

50 goes into 5 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 10, and get 20, then we multiply 5 by 10 and get 50.

2/5 times 10

This gives us a new problem that looks like so:

100
50
+
20
50

Step 2

Since our denominators match, we can add the numerators.

100 + 20 = 120

So what's the answer so far?

120
50

Step 3

Can this fraction be reduced?

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

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

120
50
÷ 2 =
60
25

Now, try the same number again.

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:

60
25
÷ 5 =
12
5

Now, try the same number again.

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

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 100/50 + 2/5

100
50
+
2
5
=
12
5
© 2014 Randy Tayler