The quotient of a number and -2\3 is -9\10.
What is the number?
-2/3 *1/n=-9/10
multipy by 30n
-20=-27n
n=20/27? check that. I might have not understood your question.
To find the number, we can first convert the given fraction into decimal form.
The fraction -9/10 as a decimal is -0.9.
Now, let's set up the equation using the information given:
x / (-2/3) = -9/10
To solve for x, we can multiply both sides of the equation by the reciprocal of (-2/3), which is (-3/2):
x * (-3/2) / (-2/3) = (-9/10) * (-3/2)
The (-2/3) on the left side of the equation cancels out, leaving us with:
x * (-3/2) = (-9/10) * (-3/2)
Next, we can simplify the right side of the equation:
(-9/10) * (-3/2) = 27/20
Now, let's substitute the simplified value into the equation:
x * (-3/2) = 27/20
To isolate x, we can multiply both sides of the equation by the reciprocal of (-3/2), which is (-2/3):
x * (-3/2) * (-2/3) = (27/20) * (-2/3)
The (-3/2) on the left side of the equation cancels out, leaving us with:
x = (27/20) * (-2/3)
Now, we can multiply the fractions to find our final answer for x:
x = (-54/60) = -9/10
Therefore, the number is -9/10.