math help

What is 100/50 + 7/10?

What is 100/50 + 7/10?

This is how to add

100
50
+
7
10

Step 1

We have to make sure the denominators are equal.

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

Multiply 7 by 5, and get 35, then we multiply 10 by 5 and get 50.

7/10 times 5

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

100
50
+
35
50

Step 2

Since our denominators match, we can add the numerators.

100 + 35 = 135

That gives us the sum, which is

135
50

Step 3

Now, do we need to simplify this fraction?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

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

135
50
÷ 5 =
27
10

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

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

And we're done! Here's the final answer to 100/50 + 7/10

100
50
+
7
10
=
27
10
© 2014 Randy Tayler