Since 3 is evenly split by 72, we can multiply just one hatchet to gain a usual 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 fountain look prefer this:

72
72
+24
72

Step 2

Since our platform match, we can include the numerators.

72 + 24 = 96

Now we have actually an answer.

96
72

Step 3

Last that all, we have to simplify the fraction, if possible. Have the right to it be decreased to a much easier fraction?

To uncover out, we try dividing that by 2...

Are both the numerator and the denominator same divisible through 2? Yes! therefore we mitigate it:

96
72
÷ 2 =48
36

Now, try the exact same number again.

Are both the numerator and the denominator same divisible by 2? Yes! for this reason we reduce it:

48
36
÷ 2 =24
18

Now, try the very same number again.

Are both the numerator and also the denominator evenly divisible through 2? Yes! so we reduce it:

24
18
÷ 2 =12
9

Now, shot the same number again.

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

Are both the numerator and also the denominator evenly divisible by 3? Yes! so we mitigate it:

12
9
÷ 3 =4
3

Now, try the same number again.

Nope. Shot the following prime number, 5...

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No good. 5 is larger than 4. For this reason we"re done reducing.

Congratulations! Here"s your final answer to 72/72 + 1/3
72
72
+1
3
=4
3

© 2014 Randy Tayler
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