math help

What is 100/50 + 9/10?

What is 100/50 + 9/10?

Let's add

100
50
+
9
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 9 by 5, and get 45, then we multiply 10 by 5 and get 50.

9/10 times 5

This gives us a new problem that looks like so:

100
50
+
45
50

Step 2

Since our denominators match, we can add the numerators.

100 + 45 = 145

That gives us an answer of

145
50

Step 3

Can this fraction be reduced?

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:

145
50
÷ 5 =
29
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 + 9/10

100
50
+
9
10
=
29
10
© 2014 Randy Tayler