Question

4/9 divided by what equals 12

Answer 1

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 $\frac{1}{27}$.

Answer 2

The unknown number will be 1/27 that is 4/9 divided by 1/27 equals 12

Let the unknown number be x;

4/9 divided x equals 12 is expressed mathematically as:

$\frac{\frac{4}{9}} {x} = 12$

Cross multiply

4/9 = 12x

Cross multiply again to have:

4 = 9 * 12x

1 = 9 * 3x

1/9 = 3x

x = 1/27

Hence the unknown number will be 1/27 that is 4/9 divided by 1/27 equals 12

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