Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction: 10/3 divided -4/7
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -4/7 is -7/4.
So, the division of 10/3 by -4/7 is:
(10/3) * (-7/4)
Multiplying the numerators and denominators:
(10 * -7) / (3 * 4)
-70/12
Simplifying the fraction:
-70 ÷ 2 / 12 ÷ 2
-35/6
Therefore, 10/3 divided by -4/7 is equal to -35/6.