math help

What is 22/60 + 4/6?

What is 22/60 + 4/6?

Let's add

22
60
 +
4
6

Step 1

We have to make sure the denominators are equal.

Since 6 is evenly divided by 60, we can multiply just one term to get a common denominator.

Multiply 4 by 10, and get 40, then we multiply 6 by 10 and get 60.

4/6 times 10

So now our fractions look like this:

22
60
 +
40
60

Step 2

Since our denominators match, we can add the numerators.

22 + 40 = 62

Now we have an answer.

62
60

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

62
60
 ÷ 2 =
31
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 22/60 + 4/6

22
60
 +
4
6
 =
31
30
© 2014 Randy Tayler

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