math help

What is 100/50 + 8/10?

What is 100/50 + 8/10?

Here's how to add

100
50
+
8
10

Step 1

Now we need to make our denominators match.

Since 10 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 8 by 5, and get 40, then we multiply 10 by 5 and get 50.

8/10 times 5

So now our fractions look like this:

100
50
+
40
50

Step 2

Since our denominators match, we can add the numerators.

100 + 40 = 140

So the answer is:

140
50

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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 + 8/10

100
50
+
8
10
=
14
5
© 2014 Randy Tayler