math help

What is 60/48 + 6/10?

What is 60/48 + 6/10?

Here's how you add

60
48
 +
6
10

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 60 by 10, and get 600, then we multiply 48 by 10 and get 480.

60/48 times 10

Do the same for the second term. We multiply 6 by 48, and get 288, then multiply 48 by 10 and get 480.

6/10 times 48

So now our fractions look like this:

600
480
 +
288
480

Step 2

Since our denominators match, we can add the numerators.

600 + 288 = 888

Now we have an answer.

888
480

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:

888
480
 ÷ 2 =
444
240

Now, try the same number again.

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

444
240
 ÷ 2 =
222
120

Now, try the same number again.

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

222
120
 ÷ 2 =
111
60

Now, try the same number again.

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

111
60
 ÷ 3 =
37
20

Now, try the same number again.

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...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

No good. 23 is larger than 20. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 6/10

60
48
 +
6
10
 =
37
20
© 2014 Randy Tayler

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