math help

What is 100/100 + 2/12?

What is 100/100 + 2/12?

Here's how we add

100
100
+
2
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 100 by 12, and get 1200, then we multiply 100 by 12 and get 1200.

100/100 times 12

Do the same for the second term. We multiply 2 by 100, and get 200, then multiply 100 by 12 and get 1200.

2/12 times 100

The problem now has new fractions to add:

1200
1200
+
200
1200

Step 2

Since our denominators match, we can add the numerators.

1200 + 200 = 1400

The sum we get is

1400
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:

1400
1200
÷ 2 =
700
600

Now, try the same number again.

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

700
600
÷ 2 =
350
300

Now, try the same number again.

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

350
300
÷ 2 =
175
150

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:

175
150
÷ 5 =
35
30

Now, try the same number again.

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

35
30
÷ 5 =
7
6

Now, try the same number again.

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

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 100/100 + 2/12

100
100
+
2
12
=
7
6
© 2014 Randy Tayler