Hi.. I need help figuring out this problem, sovling for x: 3 divided by x/9 = 5 and 2/5

I was able to solve: x divided by 3/4 = 6 by multiplying 6 x 3/4 = 4 1/2. Just not sure how to solve the first problem. If I change 5 2/5 into mixed number,I still don't know what to do next.

3 divided by x/9 = 27/5 ?

i am confuse

X:3?????????????
Is this X=3, OR X/3
: This symbol some thine call ratio or sometime use for division or some time for equal sign

3/(x/9) = 3*(9/x) = 27/x

so, now you have

27/x = 27/5
x = 5

Sorry Khan, I was trying to say that I needed to solve for x in the problem: 3 divided by x over 9 = 5 and two fifths.

.

Steve, thanks for the answer. But, I'm still not sure how you solved for x after getting 27/x= 27/5. Did you multiply both sides by 1/27 to get x by itself?

To solve the equation: (3 / (x / 9)) = (27 / 5), follow these steps:

Step 1: Simplify the equation.
To simplify equations with fractions, we can invert and multiply. So, divide 3 by x, and multiply the result by 9.

(3 / (x / 9)) = (27 / 5)

Multiply 3 by 9:
(3 * 9) / x = 27 / 5

Simplify:
27 / x = 27 / 5

Step 2: Cross-multiply.
Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.

(27 * 5) = (27 * x)

Simplify:
135 = 27x

Step 3: Solve for x.
To solve for x, divide both sides of the equation by 27.

135 / 27 = x

Simplify:
5 = x

So, the solution to the equation is x = 5.