(-3/5)x(5/16)x(7/12)÷(-3/16)x(-5/7)
To simplify the expression (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7), we can follow the order of operations:
First, we multiply the numerators together and then multiply the denominators together:
= (-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x (-5)) / (16 x 7)
= (-105) / (960) ÷ 15 / 112
= (-105) / (960) x (112 / 15)
Next, we multiply the fractions:
= (-105 x 112) / (960 x 15)
Then, we simplify the numerator and denominator:
= -11,760 / 14,400
Finally, the fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 240:
= -49 / 60
Therefore, the simplification of (-3/5) x (5/16) x (7/12) ÷ (-3/16) x (-5/7) is -49/60.
Let's simplify the expression step by step:
1. Multiply the numerators of the fractions together: (-3/5) x (5/16) x (7/12) = -15/80
2. Multiply the denominators of the fractions together: (-3/16) x (-5/7) = 15/112
3. Divide the result from step 1 by the result from step 2: (-15/80) ÷ (15/112)
4. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (-15/80) x (112/15)
5. Simplify the expression: (-3/16)
So, the final result is -3/16.