math help

What is 100/100 + 6/10?

What is 100/100 + 6/10?

This is how to add

100
100
+
6
10

Step 1

Now we need to make our denominators match.

Since 10 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 6 by 10, and get 60, then we multiply 10 by 10 and get 100.

6/10 times 10

So now our fractions look like this:

100
100
+
60
100

Step 2

Since our denominators match, we can add the numerators.

100 + 60 = 160

So the answer is:

160
100

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

160
100
÷ 2 =
80
50

Let's try dividing by that again...

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

80
50
÷ 2 =
40
25

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

40
25
÷ 5 =
8
5

Let's try dividing by that again...

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

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 6/10

100
100
+
6
10
=
8
5
© 2014 Randy Tayler