$100$ is to $20$ as $1$ is to $x$
You asked:
Find the value of \(x\) in the following equation: \(\displaystyle\frac{100}{20} = \displaystyle\frac{1}{x}\)
MathBot Answer:
\(x = \frac{1}{5}\)
These two ratios can be expressed as a pair of equivalent fractions. \[\frac{100}{20} = \frac{1}{x}\]
Cross-multiply to solve the equation for the unknown variable. $$\begin{aligned} \frac{100}{20} &= \frac{1}{x} \\ 100 \cdot x &= 1 \cdot 20 \\ 100 x &= 20 \\ x &= \frac{1}{5}\end{aligned}$$