Answer: x=0.375
Explanation:
The sentence we have is:
"A number multiplied by 2/5 is 3/20"
We can call that number x, and we get the following equation:
[tex]\frac{2}{5}x=\frac{3}{20}[/tex]
that is the first part.
Now we need to solve that equation for x.
Step 1: Multiply the left side and right side by 20 (to cancel the 20 in the right side)
[tex]20(\frac{2}{5}x)=3[/tex]
Step 2: Solve the operations on the left
[tex]\begin{gathered} \frac{40x}{5}=3 \\ 8x=3 \end{gathered}[/tex]
Step 3: Divide both sides of the equation by 8
[tex]\begin{gathered} x=\frac{3}{8} \\ x=0.375 \end{gathered}[/tex]
Answer: x=0.375
