Use the properties of operations and rules for multiplying and dividing to solve: (- 3/5)(5/16)(7/12) / (- 3/16) * (- 5/7)
To solve the given expression:
First, multiply the numerators together: (-3/5) * (5/16) * (7/12) = (-3 * 5 * 7) / (5 * 16 * 12)
Simplifying the numerator gives: -105 / 960
Next, divide the numerator by the denominator: (-105 / 960) / (-3/16) * (-5/7) = (-105 / 960) * (16/3) * (7/5)
To multiply fractions, multiply the numerators together and the denominators together:
(-105 * 16 * 7) / (960 * 3 * 5) = -23520 / 14400
Now, simplify the fraction: -23520 = -1.63 (rounded to two decimal places)
14400
Therefore, (-3/5)(5/16)(7/12) / (-3/16) * (-5/7) = -1.63.
The answer is wrong
I apologize for the mistake. Let's solve the expression again.
Given expression: (-3/5)(5/16)(7/12) / (-3/16) * (-5/7)
To simplify this expression, we can cancel out common factors in the numerators and denominators.
First, let's simplify (-3/5)(5/16)(7/12):
(-3/5)(5/16)(7/12) = (-3 * 5 * 7) / (5 * 16 * 12)
= (-105) / (960)
Now, let's simplify (-3/16) * (-5/7):
(-3/16) * (-5/7) = (3 * 5) / (16 * 7)
= 15 / 112
Now, we can divide (-105/960) by (15/112):
(-105/960) / (15/112) = (-105/960) * (112/15)
= (-105 * 112) / (960 * 15)
= (-11760) / (14400)
= -39/48
Therefore, (-3/5)(5/16)(7/12) / (-3/16) * (-5/7) simplifies to -39/48.
The answer is still wrong bot
To solve the given expression, let's break it down step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Simplify the numerator of the fraction:
(- 3/5)(5/16)(7/12) = (-3)(5)(7) / (5)(16)(12) = - 105 / 960
Step 2: Simplify the denominator of the fraction:
(- 3/16) * (- 5/7) = (3)(5) / (16)(7) = 15 / 112
Step 3: Divide the numerator and denominator:
(- 105 / 960) / (15 / 112)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(- 105 / 960) * (112 / 15)
Step 4: Simplify the expression:
(- 105 * 112) / (960 * 15) = - 11760 / 14400
Step 5: Reduce the fraction to its simplest form:
Divide both the numerator and denominator by their greatest common divisor, which is 240 (find the greatest common divisor by finding the largest number that divides both 11760 and 14400 evenly).
(- 11760 / 240) / (14400 / 240) = - 49 / 60
Therefore, the simplified expression for (- 3/5)(5/16)(7/12) / (- 3/16) * (- 5/7) is - 49/60.
To solve the given expression, we can simplify it step by step using the properties of operations and rules for multiplying and dividing fractions.
Step 1: Multiply the fractions within each set of parentheses separately.
(-3/5)(5/16)(7/12) / (-3/16) * (-5/7)
(-3/5)(5/16)(7/12) equals (-525/960).
(-3/16) * (-5/7) equals (15/112).
Step 2: Rewrite the expression with the simplified fractions.
(-525/960) / (15/112)
Step 3: Invert the divisor fraction (15/112) and change the division to multiplication.
(-525/960) * (112/15)
Step 4: Simplify the numerator and denominator of the resulting fraction.
(-525 * 112) / (960 * 15)
Step 5: Multiply the numerators and multiply the denominators.
(-58800) / (14400)
Step 6: Divide the numerator by the denominator.
-58800 / 14400 = -4.0833...
After simplifying the expression, we find that the solution to the given expression is approximately -4.0833.
Apologies for the previous errors. Let's solve the expression correctly this time.
Given expression: (-3/5)(5/16)(7/12) / (-3/16) * (-5/7)
To simplify this expression, we can simplify each fraction separately and then perform the division.
First, let's simplify (-3/5)(5/16)(7/12):
(-3/5)(5/16)(7/12) = (-3*5*7) / (5*16*12)
= -105 / 960
Now, let's simplify (-3/16) * (-5/7):
(-3/16) * (-5/7) = (3*5) / (16*7)
= 15 / 112
Now, let's perform the division:
(-105/960) / (15/112) = (-105/960) * (112/15)
= (-105 * 112) / (960 * 15)
= -11760 / 14400
= -39/48
Therefore, (-3/5)(5/16)(7/12) / (-3/16) * (-5/7) simplifies to -39/48.