Question

Simplify the expression $\frac{3}{5d}÷\left(\frac{-9}{15df}\right)$.

Short answer

The simplified value of expression is-f.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{3}{5d}÷\left(\frac{-9}{15df}\right)$.

Step 2. Simplify the expression.

The given expression $\frac{3}{5d}÷\left(\frac{-9}{15df}\right)$is simplified as:

$\begin{array}{l}\frac{3}{5d}÷\left(\frac{-9}{15df}\right)=\frac{3}{5d}\times \left(-\frac{15df}{9}\right)\\ =\left(-\frac{3\times 15}{5\times 9}\right)\cdot \left(\frac{df}{d}\right)\\ =\left(-1\right)\cdot \left(\frac{df}{d}\right)\\ =-f\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-f$.