math help

What is 5/100 + 1/12?

What is 5/100 + 1/12?

This is how to add

5
100
+
1
12

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 5 by 12, and get 60, then we multiply 100 by 12 and get 1200.

5/100 times 12

Do the same for the second term. We multiply 1 by 100, and get 100, then multiply 100 by 12 and get 1200.

1/12 times 100

The problem now has new fractions to add:

60
1200
+
100
1200

Step 2

Since our denominators match, we can add the numerators.

60 + 100 = 160

The sum we get is

160
1200

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:

160
1200
÷ 2 =
80
600

Now, try the same number again.

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

80
600
÷ 2 =
40
300

Now, try the same number again.

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

40
300
÷ 2 =
20
150

Now, try the same number again.

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

20
150
÷ 2 =
10
75

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:

10
75
÷ 5 =
2
15

Now, try the same number again.

No good. 5 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 5/100 + 1/12

5
100
+
1
12
=
2
15
© 2014 Randy Tayler