math help

What is 34/3 + 1/8?

What is 34/3 + 1/8?

Here's how we add

34
3
+
1
8

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 34 by 8, and get 272, then we multiply 3 by 8 and get 24.

34/3 times 8

Do the same for the second term. We multiply 1 by 3, and get 3, then multiply 3 by 8 and get 24.

1/8 times 3

The problem now has new fractions to add:

272
24
+
3
24

Step 2

Since our denominators match, we can add the numerators.

272 + 3 = 275

The sum we get is

275
24

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 24. So we're done reducing.

Congratulations! Here's your final answer to 34/3 + 1/8

34
3
+
1
8
=
275
24
© 2014 Randy Tayler