Subjects algebra

Cube Fraction

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Cube Fraction


1. The problem asks us to find the cube of a whole fraction. A whole fraction means a fraction where the numerator and denominator are whole numbers. 2. Let's say the fraction is $\frac{a}{b}$ where $a$ and $b$ are whole numbers. 3. To find the cube of the fraction $\frac{a}{b}$, we calculate: $$\left(\frac{a}{b}\right)^3 = \frac{a^3}{b^3}$$ 4. This means you cube the numerator $a$ and cube the denominator $b$ separately. 5. For example, if the fraction is $\frac{2}{3}$, then $$\left(\frac{2}{3}\right)^3 = \frac{2^3}{3^3} = \frac{8}{27}$$ 6. So the cube of the fraction $\frac{2}{3}$ is $\frac{8}{27}$. 7. In summary: To find the cube of any fraction $\frac{a}{b}$, use the formula: $$\boxed{\left(\frac{a}{b}\right)^3 = \frac{a^3}{b^3}}$$ This completes the solution.