math help

What is 10/11 + 3/6?

What is 10/11 + 3/6?

This is how you add

10
11
 +
3
6

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 10 by 6, and get 60, then we multiply 11 by 6 and get 66.

10/11 times 6

Do the same for the second term. We multiply 3 by 11, and get 33, then multiply 11 by 6 and get 66.

3/6 times 11

The problem now has new fractions to add:

60
66
 +
33
66

Step 2

Since our denominators match, we can add the numerators.

60 + 33 = 93

The sum we get is

93
66

Step 3

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

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

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

93
66
 ÷ 3 =
31
22

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 22. So we're done reducing.

There you have it! Here's the final answer to 10/11 + 3/6

10
11
 +
3
6
 =
31
22
© 2014 Randy Tayler

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