math help

What is 50/8 + 4/12?

What is 50/8 + 4/12?

Here's how we add

50
8
+
4
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 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 4 by 8, and get 32, then multiply 8 by 12 and get 96.

4/12 times 8

The problem now has new fractions to add:

600
96
+
32
96

Step 2

Since our denominators match, we can add the numerators.

600 + 32 = 632

This yields the answer

632
96

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:

632
96
÷ 2 =
316
48

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:

316
48
÷ 2 =
158
24

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:

158
24
÷ 2 =
79
12

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...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 50/8 + 4/12

50
8
+
4
12
=
79
12
© 2014 Randy Tayler