Question

the question was:

evaluate (−3/5) × (5/16) × (7/12) ÷ (−3/16) ×( −5/7)

Somehow, both bots blew it.
Bot got -1/12
step-by-step Bot got -49/60

But the real solution is
(−3/5) × (5/16) × (7/12) ÷ (−3/16) ×( −5/7)
= (-3/5)(5/16)(7/12)(-16/3)(-5/7)
= -(3*5*7*16*5)/(5*16*12*3*7)
= -5/12

Answer 1

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion caused by the incorrect answers from both bots. The correct solution for the given expression is indeed -5/12.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To evaluate the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we can follow these steps:

First, we can simplify the expression by canceling out common factors in the numerators and denominators:
=(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
=(-3/5) × (1/16) × (7/12) ÷ (1/16) × (-1)
=(-3/5) × (7/12) × (-1)
=(-3/5) × (-7/12)
=(3/5) × (7/12)
=21/60
=7/20

So, the simplified expression is 7/20.

Answer 3

[AI-generated answer — Explain Bot]

To evaluate the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7), we can simplify it step by step.

Step 1: Start by multiplying the numerators and denominators separately to simplify the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
= (-3 * 5 * 7 * 16 * 5) / (5 * 16 * 12 * 3 * 7)

Step 2: Now, we can cancel out the common factors in the numerator and denominator:
= (-3 * 5 * 7 * 16 * 5) / (5 * 16 * 12 * 3 * 7)
= (-3 * 7 * 5 * 5) / (12 * 3)
= -525 / 36

Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:
= (-525 / 36) ÷ 3
= -525 / (36 * 3)
= -525 / 108

Step 4: Divide the numerator by the denominator:
= -525 / 108
≈ -4.861111111

Therefore, the correct evaluation of the expression (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) is approximately -4.861111111. It seems there was an error in the previous explanations.