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 this expression, we can first simplify each individual multiplication and division operation using the rules for multiplying and dividing fractions:
(-3/5) × (5/16) = -15/80 = -3/16
(-3/16) × (-5/7) = 15/112
Now we can multiply the simplified fractions:
(-3/16) × (7/12) = -21/192 = -7/64
Finally, we can divide this product by the fraction (-3/16):
(-7/64) ÷ (-3/16) = (-7/64) × (-16/3) = 112/192 = 14/24 = 7/12
Therefore, the final answer is 7/12.
Your wrong
Apologies for the incorrect response. Let's go through the calculation again:
First, let's simplify the given expression step by step:
(-3/5) × (5/16) = (-3 × 5) / (5 × 16) = -15/80 = -3/16
(-3/16) × (7/12) = (-3 × 7) / (16 × 12) = -21/192 = -7/64
(-7/64) ÷ (-3/16) = (-7/64) × (16/(-3)) = (-(7 × 16)) / (64 × 3) = -112/192 = -14/24 = -7/12
Therefore, the correct answer is -7/12.
Step 1: Multiply the numerators and denominators together:
((-3/5) * (5/16) * (7/12)) / ((-3/16) * (-5/7))
= ((-3 * 5 * 7) / (5 * 16 * 12)) / ((-3 * -5) / (16 * 7))
= (-105 / 960) / (15 / 112)
Step 2: Multiply the fractions by the reciprocal:
= (-105 / 960) * (112 / 15)
= (-105 * 112) / (960 * 15)
= -11760 / 14400
Step 3: Simplify the fraction:
= -39 / 48
Thus, (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) simplifies to -39/48.
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we will need to use the properties of operations and rules for multiplying and dividing fractions. Here is how you can do it step-by-step:
Step 1: Multiply the numerators and denominators in the numerator:
-3 × 5 × 7 = -105
5 × 16 × 12 = 960
Step 2: Multiply the numerators and denominators in the denominator:
-3 × 16 × -5 = 240
16 × 7 = 112
Now, we have (-105/960) ÷ (240/112).
Step 3: To divide fractions, we invert the second fraction and multiply:
(-105/960) × (112/240)
Step 4: Simplify the expression if possible:
Find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
The GCD of 105 and 960 is 15, and the GCD of 112 and 240 is also 8.
So, we can rewrite the expression as:
(-7/64) × (14/30)
Step 5: Simplify further:
-7 × 14 = -98
64 × 30 = 1920
So, the final answer is -98/1920.