math help

What is 100/100 + 2/7?

What is 100/100 + 2/7?

This is how to add

100
100
+
2
7

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 100 by 7, and get 700, then we multiply 100 by 7 and get 700.

100/100 times 7

Now for the second term. You multiply 2 by 100, and get 200, then multiply 100 by 7 and get 700.

2/7 times 100

This gives us a new problem that looks like so:

700
700
+
200
700

Step 2

Since our denominators match, we can add the numerators.

700 + 200 = 900

That gives us an answer of

900
700

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:

900
700
÷ 2 =
450
350

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

450
350
÷ 2 =
225
175

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 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:

225
175
÷ 5 =
45
35

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

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

45
35
÷ 5 =
9
7

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 9. So we're done reducing.

And we're done! Here's the final answer to 100/100 + 2/7

100
100
+
2
7
=
9
7
© 2014 Randy Tayler