Question

$\frac{4}{5}x = 20$

Explanation:

Step1: Isolate the variable \( x \)

To solve for \( x \) in the equation \( \frac{4}{5}x = 20 \), we multiply both sides of the equation by the reciprocal of \( \frac{4}{5} \), which is \( \frac{5}{4} \). This gives us:

$$ \frac{5}{4} \times \frac{4}{5}x = \frac{5}{4} \times 20 $$

Step2: Simplify both sides

On the left side, \( \frac{5}{4} \times \frac{4}{5} = 1 \), so we have \( 1 \times x = x \). On the right side, we calculate \( \frac{5}{4} \times 20 \). We can rewrite 20 as \( \frac{20}{1} \), so:

$$ \frac{5}{4} \times \frac{20}{1} = \frac{5 \times 20}{4 \times 1} = \frac{100}{4} = 25 $$

So, \( x = 25 \).

Answer:

\( x = 25 \)