Use the properties of operations and rules for multiplying and dividing to solve the following problem
3/8×(-32)÷(-3)×1/8
A. 1/2
B. 9/2048
C. 9/2
D. 96/192
To solve this problem, we can follow the order of operations, which is parentheses, exponentiation, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, let's simplify within the parentheses:
(-32) ÷ (-3) = 32/3
Now, let's multiply and divide from left to right:
3/8 × 32/3 × 1/8 = (3 × 32 × 1) / (8 × 3 × 8)
= 96 / 192
Finally, we can simplify the fraction:
96 / 192 = 1/2
Therefore, the answer is A. 1/2.
To solve the problem using the properties of operations and rules for multiplying and dividing, follow these steps:
Step 1: Multiply the numerator (top number) of the first fraction (3/8) with the numerator of the second fraction (-32).
3/8 * (-32) = -96/8
Step 2: Divide the result from step 1 (-96/8) by the denominator (bottom number) of the second fraction (-3).
(-96/8) / (-3) = -96/8 * (-1/3) = 96/24 = 4
Step 3: Multiply the result from step 2 (4) with the numerator of the third fraction (1/8).
4 * (1/8) = 4/8 = 1/2
Therefore, the answer is A. 1/2
To solve this problem, we can follow the order of operations and rules for multiplying and dividing.
Step 1: Begin by multiplying the numbers together in the given expression.
3/8 × (-32) ÷ (-3) × 1/8
Multiplying the numbers, we have:
(-32) × 3/8 ÷ (-3) × 1/8
Step 2: Use the properties of operations to simplify the expression.
Notice that multiplying a positive number by a negative number results in a negative number, and dividing a negative number by a negative number results in a positive number.
(-32) × 3/8 ÷ (-3) × 1/8
= -96/8 ÷ (-3) × 1/8
Step 3: Simplify the expression further.
Dividing -96/8 by -3 gives us:
= 12 ÷ 1/8
To divide by a fraction, we can multiply by its reciprocal.
= 12 × 8/1
= 96/1
= 96
Therefore, the answer to the given expression 3/8 × (-32) ÷ (-3) × 1/8 is 96.
None of the given options A, B, C, or D match the result we obtained. Please double-check for any errors or inconsistencies in the options provided.