math help

What is 56/60 + 6/12?

What is 56/60 + 6/12?

Let's add

56
60
 +
6
12

Step 1

We have to make sure the denominators are equal.

Since 12 is evenly divided by 60, we can multiply just one term to get a common denominator.

Multiply 6 by 5, and get 30, then we multiply 12 by 5 and get 60.

6/12 times 5

The problem now has new fractions to add:

56
60
 +
30
60

Step 2

Since our denominators match, we can add the numerators.

56 + 30 = 86

The sum we get is

86
60

Step 3

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

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

86
60
 ÷ 2 =
43
30

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. 31 is larger than 30. So we're done reducing.

And we're done! Here's the final answer to 56/60 + 6/12

56
60
 +
6
12
 =
43
30
© 2014 Randy Tayler

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