Answer:
3.1666667
Explanation:
1. Conversion a mixed number 4 3/4 to a improper fraction: 4 3/4 = 4 3/4 4 · 4 + 3/4 = 16 + 3/4 = 19/4
To find a new numerator:
a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/4 = 16/4
b) Add the answer from the previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 4.
Four and three quarters is nineteen quarters.
2. Unary minus: -19/4 = -19/4
3. Unary minus: -2/3 = -2/3
4. Multiple: the result of step No. 2 * the result of step No. 3 = -19/4 * (-2/3) = 19 · (-2)/4 · 3 = 38/12 = 19 · 2/6 · 2 = 19/6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(38, 12) = 2. In the following intermediate step, cancel by a common factor of 2 gives 19/6
In other words - minus nineteen quarters multiplied by minus two thirds is nineteen sixths.
I hope this helped.