math help

What is 100/100 + 2/4?

What is 100/100 + 2/4?

This is how we add

100
100
+
2
4

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 2 by 25, and get 50, then we multiply 4 by 25 and get 100.

2/4 times 25

The problem now has new fractions to add:

100
100
+
50
100

Step 2

Since our denominators match, we can add the numerators.

100 + 50 = 150

The sum we get is

150
100

Step 3

The last step is to reduce the fraction if we can.

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:

150
100
÷ 2 =
75
50

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

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

75
50
÷ 5 =
15
10

So far so good... let's try to divide by that number again.

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

15
10
÷ 5 =
3
2

So far so good... let's try to divide by that number again.

No good. 5 is larger than 3. So we're done reducing.

And we're done! Here's the final answer to 100/100 + 2/4

100
100
+
2
4
=
3
2
© 2014 Randy Tayler