Answer:
The value of the unknown number is \(\frac{1}{27}\).
Step-by-step explanation:
It is given that if 4/9 is divided by an unknown number then the result is equal to 12.
We need to find the unknown number.
Let the unknown number be x.
\(\dfrac{\frac{4}{9}}{x}=12\)
It can be rewritten as
\(\dfrac{4}{9x}=12\)
Multiply both sides by 9x.
\(\dfrac{4}{9x}\times 9x=12\times 9x\)
\(4=108x\)
Divide both sides by 108.
\(\frac{4}{108}=x\)
\(\frac{1}{27}=x\)
Therefore, the value of the unknown number is \(\frac{1}{27}\).
