math help

What is 34/3 + 10/11?

What is 34/3 + 10/11?

This is how you add

34
3
+
10
11

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 11, and get 374, then we multiply 3 by 11 and get 33.

34/3 times 11

Do the same for the second term. We multiply 10 by 3, and get 30, then multiply 3 by 11 and get 33.

10/11 times 3

The problem now has new fractions to add:

374
33
+
30
33

Step 2

Since our denominators match, we can add the numerators.

374 + 30 = 404

This yields the answer

404
33

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...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

No good. 37 is larger than 33. So we're done reducing.

Congratulations! Here's your final answer to 34/3 + 10/11

34
3
+
10
11
=
404
33
© 2014 Randy Tayler

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