math help

What is 100/72 + 1/6?

What is 100/72 + 1/6?

Here's how we add

100
72
+
1
6

Step 1

We have to make sure the denominators are equal.

72 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 12, and get 12, then we multiply 6 by 12 and get 72.

1/6 times 12

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

100
72
+
12
72

Step 2

Since our denominators match, we can add the numerators.

100 + 12 = 112

Answer:

112
72

Step 3

Now, do we need to simplify this fraction?

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

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

112
72
÷ 2 =
56
36

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:

56
36
÷ 2 =
28
18

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:

28
18
÷ 2 =
14
9

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...

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 100/72 + 1/6

100
72
+
1
6
=
14
9
© 2014 Randy Tayler