(-3/5)x(5/16)x(7/12)divided by -(3/16) x (-5/7)
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To divide fractions, you can simply multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction means flipping the numerator and the denominator.
First, let's find the reciprocal of the second fraction:
Reciprocal of - (3/16) x (-5/7) is (-7/5) x (16/3)
Now, the problem becomes:
(-3/5) x (5/16) x (7/12) divided by (-7/5) x (16/3)
Multiplying the numerators and the denominators of each fraction, we get:
(-3 x 5 x 7) / (5 x 16 x 12) divided by (-7 x 16) / (5 x 3)
Simplifying both sides, we have:
(-105) / (960) divided by (-112) / (15)
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:
(-105/960) x (15/(-112))
Simplifying further, we have:
(-105/960) x (15/(-112)) = (-1 x 1 x 3 x 5 x 7 ) / (16 x 2 x 3 x 5 x 7 x 3)
= -1 / (16 x 2 x 3 x 3)
= -1 / 288
Therefore, the result of the expression is: -1/288.
To simplify the expression (-3/5) x (5/16) x (7/12) divided by -(3/16) x (-5/7), you can follow these steps:
Step 1: Simplify each multiplication separately.
(-3/5) x (5/16) x (7/12) divided by -(3/16) x (-5/7)
= ((-3)(5)(7)) / ((5)(16)(12)) divided by ((3)(16)(5)) / ((16)(7))
Step 2: Simplify the numerators and denominators separately.
= (-105) / (6,400) divided by (240) / (112)
Step 3: Divide the numerators and denominators.
= (-105) / (6,400) x (112) / (240)
Step 4: Cancel out any common factors between the numerators and denominators.
= (-105) / (64) x (7) / (15)
= (-2,940) / (960)
The final simplified expression is -2,940/960.
To simplify the given expression: (-3/5) x (5/16) x (7/12) / [-(3/16) x (-5/7)], follow these steps:
1. Multiply the numerators together: (-3 x 5 x 7) = -105.
2. Multiply the denominators together: (5 x 16 x 12) = 960.
3. Divide the product of the numerators by the product of the denominators: -105 / 960.
4. Simplify the resulting fraction, if possible.
However, before diving into the actual calculation, let's simplify the expression first by canceling out any common factors within the numerator and denominator.
For the numerator:
-3 = -1 x 3, and 3 and 5 have no common factors.
For the denominator:
5 = 5 x 1, 16 = 2^4, 7 = 7 x 1, and 12 = 2^2 x 3. Notice that both 5 and 7 are prime numbers and have no common factors.
Now, let's rewrite the expression after canceling out common factors:
(-1 x 1) x (3 x 1) x (1 x 2^2 x 3) / [(1 x 2^4) x (1 x 1)]
Simplifying further:
-1 x 3 x (2^2 x 3) / (2^4 x 1)
Now, we can proceed with multiplying and dividing:
-1 x 3 x 12 / 16
Performing the multiplication:
-36 / 16
Simplifying the fraction by canceling common factors:
-9 / 4
Therefore, the simplified value of the expression (-3/5) x (5/16) x (7/12) / [-(3/16) x (-5/7)] is -9/4.