Final answer:
To simplify the mixed number -6/9/10x-3/4, we divide the whole number part from the fractional part and simplify the expression to obtain -8/3.
Step-by-step explanation:
To simplify the mixed number -6/9/10x-3/4, we need to divide the whole number part from the fractional part. The whole number part is -6, and the fractional part is -3/4. To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction. So, -6 divided by 3/4 is -6 multiplied by 4/3, which equals -24/3.
Now we have -6/9/10x-24/3. To divide by -9/10, we again multiply by the reciprocal, which is -10/9. So, -24/3 divided by -9/10 is -24/3 multiplied by -10/9. Simplifying this, we get -240/27, which can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 120. Thus, the simplest form of the mixed number -6/9/10x-3/4 is -8/3.
Learn more about simplifying mixed numbers