math help

What is 10/3 + 3/6?

What is 10/3 + 3/6?

Let's add

10
3
 +
3
6

Step 1

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

Since 3 is evenly divided by 6, we can multiply just one term to get a common denominator.

Multiply 10 by 2, and get 20, then we multiply 3 by 2 and get 6.

10/3 times 2

The problem now has new fractions to add:

20
6
 +
3
6

Step 2

Since our denominators match, we can add the numerators.

20 + 3 = 23

The sum we get is

23
6

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...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 10/3 + 3/6

10
3
 +
3
6
 =
23
6
© 2014 Randy Tayler

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