math help

What is 50/8 + 7/9?

What is 50/8 + 7/9?

Here's how we add

50
8
+
7
9

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 9, and get 450, then we multiply 8 by 9 and get 72.

50/8 times 9

Do the same for the second term. We multiply 7 by 8, and get 56, then multiply 8 by 9 and get 72.

7/9 times 8

The problem now has new fractions to add:

450
72
+
56
72

Step 2

Since our denominators match, we can add the numerators.

450 + 56 = 506

This yields the answer

506
72

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:

506
72
÷ 2 =
253
36

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. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. 37 is larger than 36. So we're done reducing.

And we're done! Here's the final answer to 50/8 + 7/9

50
8
+
7
9
=
253
36
© 2014 Randy Tayler