math help

What is 48/30 + 4/6?

What is 48/30 + 4/6?

Here's how we add

48
30
 +
4
6

Step 1

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

Since 6 is evenly divided by 30, we can multiply just one term to get a common denominator.

Multiply 4 by 5, and get 20, then we multiply 6 by 5 and get 30.

4/6 times 5

So now our fractions look like this:

48
30
 +
20
30

Step 2

Since our denominators match, we can add the numerators.

48 + 20 = 68

So the answer is:

68
30

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:

68
30
 ÷ 2 =
34
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 48/30 + 4/6

48
30
 +
4
6
 =
34
15
© 2014 Randy Tayler

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