Since 3 is evenly divided by 72, we can multiply just one term to get a common denominator.

You are watching: 72^(1/3)

Multiply 1 by 24, and get 24, then we multiply 3 by 24 and get 72.

So now our fractions look like this:

72
 72
+24
72

## Step 2

Since our denominators match, we can add the numerators.

72 + 24 = 96

96
 72

## 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:

96
 72
÷ 2 =48
36

Now, try the same number again.

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

 48 36
÷ 2 =24
18

Now, try the same number again.

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

 24 18
÷ 2 =12
9

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:

 12 9
÷ 3 =4
3

Now, try the same number again.

Nope. Try the next prime number, 5...

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No good. 5 is larger than 4. So we"re done reducing.

 72 72
+1
3
=4
3

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