To solve this problem, we'll simplify each part of the expression step-by-step.
(-3) divided by (3/4) can be rewritten as (-3) multiplied by (4/3) (since dividing by a fraction is the same as multiplying by its reciprocal).
(-3) multiplied by (4/3) equals -12/3, which simplifies to -4.
Next, we'll simplify the expression (2/7) x (-5/16).
Multiplying the numerators and multiplying the denominators gives us:
(2 x -5)/(7 x 16) = (-10)/(112)
Since -10 and 112 share a common factor of 2, we can simplify further:
(-10)/(112) = (-5)/(56) = -5/56.
Now we have (-4) divided by (-5/56) divided by (5/7):
This can be simplified as (-4) multiplied by (7/5) multiplied by (56/5) (since dividing by a fraction is the same as multiplying by its reciprocal).
(-4) multiplied by (7/5) multiplied by (56/5) equals (-4 x 7 x 56)/(5 x 5).
Simplifying the numerator gives us -1568, and the denominator remains as 25.
Therefore, the final answer is -1568/25.
(-3) divided by (3/4) x (2/7) x (-5/16) divided by 5/7
3 answers
Wrong
Apologies for the mistake. Let's correct the calculation.
(-3) divided by (3/4) can be rearranged as (-3) multiplied by (4/3) (by multiplying by the reciprocal of 3/4).
(-3) multiplied by (4/3) equals -12/3, which simplifies to -4.
Next, we'll simplify the expression (2/7) x (-5/16).
Multiplying the numerators and multiplying the denominators gives us:
(2 x -5)/(7 x 16) = (-10)/(112).
Since -10 and 112 share a common factor of 2, we can simplify further:
(-10)/(112) = (-5)/(56) = -1/8.
Now we have (-4) divided by (-1/8) divided by (5/7):
This can be simplified as (-4) multiplied by (8/1) multiplied by (7/5) (by multiplying by the reciprocals of -1/8 and 5/7).
(-4) multiplied by (8/1) multiplied by (7/5) equals (-4 x 8 x 7)/(1 x 5).
Simplifying the numerator gives us -224, and the denominator remains as 5.
Therefore, the final answer is -224/5.
(-3) divided by (3/4) can be rearranged as (-3) multiplied by (4/3) (by multiplying by the reciprocal of 3/4).
(-3) multiplied by (4/3) equals -12/3, which simplifies to -4.
Next, we'll simplify the expression (2/7) x (-5/16).
Multiplying the numerators and multiplying the denominators gives us:
(2 x -5)/(7 x 16) = (-10)/(112).
Since -10 and 112 share a common factor of 2, we can simplify further:
(-10)/(112) = (-5)/(56) = -1/8.
Now we have (-4) divided by (-1/8) divided by (5/7):
This can be simplified as (-4) multiplied by (8/1) multiplied by (7/5) (by multiplying by the reciprocals of -1/8 and 5/7).
(-4) multiplied by (8/1) multiplied by (7/5) equals (-4 x 8 x 7)/(1 x 5).
Simplifying the numerator gives us -224, and the denominator remains as 5.
Therefore, the final answer is -224/5.