Question Video: Finding the Cube Root of Dividing Two Mixed Numbers | Nagwa Question Video: Finding the Cube Root of Dividing Two Mixed Numbers | Nagwa

Question Video: Finding the Cube Root of Dividing Two Mixed Numbers Mathematics • Second Year of Preparatory School

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Find the value of ∛(4(1/2) ÷ 10(2/3)).

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Video Transcript

Find the value of the cube root of four and a half divided by 10 and two-thirds.

Let’s start by converting those mixed numbers to improper fractions. Recall that dividing by a fraction is the same as multiplying by its reciprocal. We arrive at the cube root of 27 over 64. This is equivalent to the cube root of 27 over the cube root of 64. You can use a calculator here, or remember that three cubed is 27 and four cubed is 64. In any case, the cube root of four and a half divided by 10 and two-thirds evaluates to three-quarters.

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