math help

What is 100/50 + 4/5?

What is 100/50 + 4/5?

Here's how you add

100
50
+
4
5

Step 1

Now we need to make our denominators match.

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

Multiply 4 by 10, and get 40, then we multiply 5 by 10 and get 50.

4/5 times 10

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

100
50
+
40
50

Step 2

Since our denominators match, we can add the numerators.

100 + 40 = 140

That gives us the sum, which is

140
50

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:

140
50
÷ 2 =
70
25

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

70
25
÷ 5 =
14
5

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

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

There you have it! Here's the final answer to 100/50 + 4/5

100
50
+
4
5
=
14
5
© 2014 Randy Tayler