math help

What is 21/33 + 1/3?

What is 21/33 + 1/3?

This is how you add

21
33
+
1
3

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 3 is evenly divided by 33, we can multiply just one term to get a common denominator.

Multiply 1 by 11, and get 11, then we multiply 3 by 11 and get 33.

1/3 times 11

The problem now has new fractions to add:

21
33
+
11
33

Step 2

Since our denominators match, we can add the numerators.

21 + 11 = 32

This yields the answer

32
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 32. So we're done reducing.

Congratulations! Here's your final answer to 21/33 + 1/3

21
33
+
1
3
=
32
33
© 2014 Randy Tayler