math help

What is 100/72 + 11/12?

What is 100/72 + 11/12?

This is how to add

100
72
+
11
12

Step 1

Now we need to make our denominators match.

72 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 11 by 6, and get 66, then we multiply 12 by 6 and get 72.

11/12 times 6

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

100
72
+
66
72

Step 2

Since our denominators match, we can add the numerators.

100 + 66 = 166

Answer:

166
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:

166
72
÷ 2 =
83
36

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

No good. 37 is larger than 36. So we're done reducing.

There you have it! Here's the final answer to 100/72 + 11/12

100
72
+
11
12
=
83
36
© 2014 Randy Tayler

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