QuestionCalculate $(4(-2)+(-1)) \div 3 - (3 \cdot 1) \div((-2)(-1))$ for $a=-2, b=3, c=-1, d=1$ .

Studdy Solution

STEP 1

Assumptions1. The values of the variables are as follows $a=-$ , $b=3$ , $c=-1$ , and $d=1$ . . The operations in the expression are carried out from left to right.

STEP 2

First, we need to substitute the given values of $a$ , $b$ , $c$ , and $d$ into the expression.
$(4 a+c) \div b-(b d) \div(a c)$ $(4(-2)+(-1)) \div-( \times1) \div((-2) \times (-1))$

STEP 3

Now, calculate the values inside the brackets.
$(-8-1) \div3-(3) \div2$

STEP 4

Calculate the division operations.
$-9 \div3-3 \div2$

STEP 5

Calculate the results of the division operations.
$-3-1.5$

STEP 6

Finally, subtract the second value from the first to find the value of the expression.
$-3-1.5 = -4.5$ So, the value of the expression when $a=-2$ , $b=3$ , $c=-1$ , and $d=1$ is $-4.5$ or $-4 \frac{1}{2}$ .
The correct answer is (c) $-4 \frac{1}{2}$ .

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