math help

What is 100/100 + 7/10?

What is 100/100 + 7/10?

Here's how to add

100
100
+
7
10

Step 1

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

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

Multiply 7 by 10, and get 70, then we multiply 10 by 10 and get 100.

7/10 times 10

This gives us a new problem that looks like so:

100
100
+
70
100

Step 2

Since our denominators match, we can add the numerators.

100 + 70 = 170

That gives us an answer of

170
100

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:

170
100
÷ 2 =
85
50

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:

85
50
÷ 5 =
17
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 100/100 + 7/10

100
100
+
7
10
=
17
10
© 2014 Randy Tayler