math help

What is 100/100 + 3/5?

What is 100/100 + 3/5?

Here's how you add

100
100
+
3
5

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 5 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 3 by 20, and get 60, then we multiply 5 by 20 and get 100.

3/5 times 20

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

Now, try the same number again.

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

80
50
÷ 2 =
40
25

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

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

40
25
÷ 5 =
8
5

Now, try the same number again.

Nope. Try the next prime number, 7...

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

Congratulations! Here's your final answer to 100/100 + 3/5

100
100
+
3
5
=
8
5
© 2014 Randy Tayler