math help

What is 100/50 + 5/6?

What is 100/50 + 5/6?

Here's how to add

100
50
+
5
6

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 6, and get 600, then we multiply 50 by 6 and get 300.

100/50 times 6

Now for the second term. You multiply 5 by 50, and get 250, then multiply 50 by 6 and get 300.

5/6 times 50

This gives us a new problem that looks like so:

600
300
+
250
300

Step 2

Since our denominators match, we can add the numerators.

600 + 250 = 850

That gives us an answer of

850
300

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:

850
300
÷ 2 =
425
150

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:

425
150
÷ 5 =
85
30

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:

85
30
÷ 5 =
17
6

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. 7 is larger than 6. So we're done reducing.

And we're done! Here's the final answer to 100/50 + 5/6

100
50
+
5
6
=
17
6
© 2014 Randy Tayler