Question

solve the following.
if your answer is not a whole number, then enter it as a reduced fraction.
$-dfrac{2}{10} = dfrac{x}{4}$
$x = $

Explanation:

Step1: Cross - multiply the equation

To solve the equation \(-\frac{2}{10}=\frac{x}{4}\), we use cross - multiplication. Cross - multiplying gives us \(10\times x=- 2\times4\).

Step2: Simplify the right - hand side

Simplify the right - hand side of the equation: \(-2\times4=-8\), so the equation becomes \(10x = - 8\).

Step3: Solve for \(x\)

Divide both sides of the equation \(10x=-8\) by 10. We get \(x=\frac{-8}{10}\). Then, we reduce the fraction \(\frac{-8}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \(\frac{-8\div2}{10\div2}=\frac{-4}{5}\).

Answer:

\(-\frac{4}{5}\)