A number multiplied by 2/5 is 3/20
Answer:
\(x=\frac{3}{8}\)
Step-by-step explanation:
A number multiplied by 2/5 is 3/20 is expressed like this:
\(\frac{2}{5}x=\frac{3}{20}\)
Now, we have to solve for \(x\). Remember that "a number" always represents the unknown letter.
\(\frac{2}{5}x=\frac{3}{20}\\x=\frac{3(5)}{20(2)}=\frac{15}{40}=\frac{3}{8}\)
So, the number is 3/8. Let's test it:
\(\frac{2}{5}(\frac{3}{8})=\frac{3}{20}\)
\(\frac{6}{40}=\frac{3}{20}\)
\(\frac{3}{20}=\frac{3}{20}\)
As you can see, the number we found satisfies the expressions.
Therefore, the answer is
\(x=\frac{3}{8}\)