math help

What is 100/72 + 5/6?

What is 100/72 + 5/6?

Let's add

100
72
+
5
6

Step 1

Now we need to make our denominators match.

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

Multiply 5 by 12, and get 60, then we multiply 6 by 12 and get 72.

5/6 times 12

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

100
72
+
60
72

Step 2

Since our denominators match, we can add the numerators.

100 + 60 = 160

That gives us the sum, which is

160
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:

160
72
÷ 2 =
80
36

Let's try dividing by that again...

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

80
36
÷ 2 =
40
18

Let's try dividing by that again...

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

40
18
÷ 2 =
20
9

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...

No good. 11 is larger than 9. So we're done reducing.

There you have it! Here's the final answer to 100/72 + 5/6

100
72
+
5
6
=
20
9
© 2014 Randy Tayler