math help

What is 64/4 + 6/12?

What is 64/4 + 6/12?

This is how you add

64
4
+
6
12

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 64 by 3, and get 192, then we multiply 4 by 3 and get 12.

64/4 times 3

The problem now has new fractions to add:

192
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

192 + 6 = 198

The sum we get is

198
12

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:

198
12
÷ 2 =
99
6

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:

99
6
÷ 3 =
33
2

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

No good. 3 is larger than 2. So we're done reducing.

And we're done! Here's the final answer to 64/4 + 6/12

64
4
+
6
12
=
33
2
© 2014 Randy Tayler