math help

What is 50/8 + 6/12?

What is 50/8 + 6/12?

This is how to add

50
8
+
6
12

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 50 by 12, and get 600, then we multiply 8 by 12 and get 96.

50/8 times 12

Do the same for the second term. We multiply 6 by 8, and get 48, then multiply 8 by 12 and get 96.

6/12 times 8

So now our fractions look like this:

600
96
+
48
96

Step 2

Since our denominators match, we can add the numerators.

600 + 48 = 648

Now we have an answer.

648
96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

648
96
÷ 2 =
324
48

Now, try the same number again.

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

324
48
÷ 2 =
162
24

Now, try the same number again.

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

162
24
÷ 2 =
81
12

Now, try the same number again.

Nope. Try the next prime number, 3...

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

81
12
÷ 3 =
27
4

Now, try the same number again.

Nope. Try the next prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 50/8 + 6/12

50
8
+
6
12
=
27
4
© 2014 Randy Tayler