math help

What is 100/72 + 8/9?

What is 100/72 + 8/9?

Here's how to add

100
72
+
8
9

Step 1

Now we need to make our denominators match.

72 goes into 9 evenly, so we only need to multiply one term to get a common denominator.

Multiply 8 by 8, and get 64, then we multiply 9 by 8 and get 72.

8/9 times 8

This gives us a new problem that looks like so:

100
72
+
64
72

Step 2

Since our denominators match, we can add the numerators.

100 + 64 = 164

So what's the answer so far?

164
72

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:

164
72
÷ 2 =
82
36

Let's try dividing by that again...

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

82
36
÷ 2 =
41
18

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...

No good. 19 is larger than 18. So we're done reducing.

There you have it! Here's the final answer to 100/72 + 8/9

100
72
+
8
9
=
41
18
© 2014 Randy Tayler