Answer:
-49/60.
Explanation:
To simplify the expression -3/5 x 5/16 x 7/12 ÷ -3/16 x -5/7, we can follow these steps:
1. Multiply the numerators and denominators of all the fractions together:
(-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x -5) / (16 x 7)
2. Simplify the multiplication of the numerators and denominators separately:
-105 / 960 ÷ 15 / 112
3. When dividing fractions, we can multiply by the reciprocal of the second fraction:
-105 / 960 x 112 / 15
4. Multiply the numerators and denominators together:
(-105 x 112) / (960 x 15)
5. Simplify the multiplication:
-11760 / 14400
6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
-49 / 60