math help

What is 100/100 + 6/12?

What is 100/100 + 6/12?

Let's add

100
100
+
6
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 6 by 100, and get 600, then multiply 100 by 12 and get 1200.

6/12 times 100

The problem now has new fractions to add:

1200
1200
+
600
1200

Step 2

Since our denominators match, we can add the numerators.

1200 + 600 = 1800

This yields the answer

1800
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:

1800
1200
÷ 2 =
900
600

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

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

900
600
÷ 2 =
450
300

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

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

450
300
÷ 2 =
225
150

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

225
150
÷ 3 =
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 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 + 6/12

100
100
+
6
12
=
3
2
© 2014 Randy Tayler