Evaluate.
$[(1 \frac{1}{4} - \frac{3}{4}) \cdot {(- \frac{2}{3})}^{3}] \div (- 4)$

What is the value of the expression?
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Answer

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Answer

Final Answer: The value of the expression is $\frac{1}{27}$ .

Steps

Step 1 ：Convert the mixed number $1 \frac{1}{4}$ to an improper fraction. The result is $\frac{5}{4}$ .

Step 2 ：Subtract $\frac{3}{4}$ from $\frac{5}{4}$ to get $\frac{1}{2}$ .

Step 3 ：Raise $- \frac{2}{3}$ to the power of 3 to get $- \frac{8}{27}$ .

Step 4 ：Multiply $\frac{1}{2}$ by $- \frac{8}{27}$ to get $- \frac{4}{27}$ .

Step 5 ：Divide $- \frac{4}{27}$ by $- 4$ to get $\frac{1}{27}$ .

Step 6 ：Final Answer: The value of the expression is $\frac{1}{27}$ .