To simplify this expression, we can start by multiplying the numerators and the denominators of the fractions together:
-3 divided by (3/4 x 2/7 x -5/16) divided by 5/7
= -3 divided by ((3 x 2 x -5) / (4 x 7 x 16)) divided by 5/7
Next, simplify the numerator and denominator:
= -3 divided by ((-30) / (448)) divided by 5/7
Now, divide the numerator by the denominator:
= -3 divided by (448 / -30) divided by 5/7
To divide by a fraction, we can multiply by its reciprocal:
= -3 x (7/5) x (-30/448)
= (-3 x 7 x -30) / (5 x 448)
= 630 / 2240
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (10):
= 63 / 224
Therefore, -3 divided by 3/4 x 2/7 x -5/16 divided by 5/7 equals 63/224.
-3 divided b y 3/4 x 2/7 x -5/16 divided by 5/7
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