math help

What is 100/50 + 6/10?

What is 100/50 + 6/10?

Here's how you add

100
50
+
6
10

Step 1

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

Since 10 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 6 by 5, and get 30, then we multiply 10 by 5 and get 50.

6/10 times 5

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

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:

65
25
÷ 5 =
13
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 100/50 + 6/10

100
50
+
6
10
=
13
5
© 2014 Randy Tayler