math help

What is 56/60 + 2/6?

What is 56/60 + 2/6?

Here's how you add

56
60
 +
2
6

Step 1

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

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

Multiply 2 by 10, and get 20, then we multiply 6 by 10 and get 60.

2/6 times 10

So now our fractions look like this:

56
60
 +
20
60

Step 2

Since our denominators match, we can add the numerators.

56 + 20 = 76

Now we have an answer.

76
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:

76
60
 ÷ 2 =
38
30

Now, try the same number again.

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

38
30
 ÷ 2 =
19
15

Now, try the same number again.

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...

No good. 17 is larger than 15. So we're done reducing.

Congratulations! Here's your final answer to 56/60 + 2/6

56
60
 +
2
6
 =
19
15
© 2014 Randy Tayler

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