math help

What is 56/60 + 10/12?

What is 56/60 + 10/12?

Here's how you add

56
60
 +
10
12

Step 1

Now we need to make our denominators match.

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

Multiply 10 by 5, and get 50, then we multiply 12 by 5 and get 60.

10/12 times 5

The problem now has new fractions to add:

56
60
 +
50
60

Step 2

Since our denominators match, we can add the numerators.

56 + 50 = 106

This yields the answer

106
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:

106
60
 ÷ 2 =
53
30

Let's try dividing by that again...

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

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...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

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

There you have it! Here's the final answer to 56/60 + 10/12

56
60
 +
10
12
 =
53
30
© 2014 Randy Tayler

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