math help

What is 9/60 + 3/6?

What is 9/60 + 3/6?

Let's add

9
60
 +
3
6

Step 1

Now we need to make our denominators match.

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

Multiply 3 by 10, and get 30, then we multiply 6 by 10 and get 60.

3/6 times 10

The problem now has new fractions to add:

9
60
 +
30
60

Step 2

Since our denominators match, we can add the numerators.

9 + 30 = 39

The sum we get is

39
60

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:

39
60
 ÷ 3 =
13
20

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...

No good. 17 is larger than 13. So we're done reducing.

There you have it! Here's the final answer to 9/60 + 3/6

9
60
 +
3
6
 =
13
20
© 2014 Randy Tayler

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