math help

What is 100/50 + 3/5?

What is 100/50 + 3/5?

Here's how we add

100
50
+
3
5

Step 1

We have to make sure the denominators are equal.

Since 5 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 3 by 10, and get 30, then we multiply 5 by 10 and get 50.

3/5 times 10

The problem now has new fractions to add:

100
50
+
30
50

Step 2

Since our denominators match, we can add the numerators.

100 + 30 = 130

The sum we get is

130
50

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:

130
50
÷ 2 =
65
25

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:

65
25
÷ 5 =
13
5

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 7...

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

And we're done! Here's the final answer to 100/50 + 3/5

100
50
+
3
5
=
13
5
© 2014 Randy Tayler