Use the properties of operations and rules for multiplying and dividing to solve: (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) c
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can simplify the multiplication and division step by step.
First, multiply the fractions: (−3/5)×(5/16) = (−15/80) = (−3/16)
Next, multiply the result by the next fraction: (−3/16)×(7/12) = (−21/192) = (−7/64)
Now, divide by the next fraction: (−7/64) ÷ (−3/16) = (−7/64) × (−16/3) = (112/192) = (14/24) = (7/12)
Finally, multiply by the last fraction: (7/12) × (−5/7) = (−35/84) = (−5/12)
Therefore, the solution to the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) is (−5/12).
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow these steps:
Step 1: Simplify each fraction:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
Step 2: Combine the numerators and denominators using multiplication:
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × -5) / (16 × 7)
Step 3: Simplify the expressions within the parentheses:
(-105) / (960) ÷ (15) / (112)
Step 4: Invert the dividend and multiply:
(-105) / (960) × (112) / (15)
Step 5: Multiply the numerators and denominators:
(-105 × 112) / (960 × 15)
Step 6: Simplify the expression:
-11760 / 14400
Step 7: Reduce the fraction if possible:
-11760/14400 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 ÷ 240) / (14400 ÷ 240)
Simplifying the expression gives -49/60 as the final answer.
To solve the given expression: (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow these steps using the properties of operations and rules for multiplying and dividing:
Step 1: Simplify the expression
We'll start by simplifying the expression by canceling out common factors between numerators and denominators. Look for factors that appear in both the numerator and denominator and divide them out.
In this case, we have the following pairings:
(-3/5) and (5/16) can both be divided by 5.
(7/12) and (-5/7) can both be divided by 7.
(-3/16) and (-5/7) can both be divided by -1.
After simplifying, we get:
(-3/1) × (1/16) × (1/12) ÷ (1/16) × (-1/1)
Step 2: Perform the multiplications
Multiply the numerators together and the denominators together.
(-3 × 1 × 1 × -1) / (1 × 16 × 12 × 16)
Simplifying further:
3 / (16 × 12 × 16)
Step 3: Calculate the final result
Multiply the remaining factors together.
3 / 3072
Step 4: Simplify, if necessary
If possible, simplify the fraction.
The fraction 3/3072 cannot be simplified further.
So, the final result of the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) is 3/3072.