First, simplify the terms in the expression:
(1/3)³ = 1/275 3/4 = 5.75(-1/2)² = 1/4
Now, substitute these values back into the expression:
1/27 + 5.75 ÷ 1/4
Next, perform the division:
5.75 ÷ 1/4 = 5.75 * 4 = 23
Now, add the fractions:
1/27 + 23 = 1/27 + 621/27 = 622/27
Therefore, the final answer is 622/27.
First, simplify the terms in the expression:
(1/3)³ = 1/27
5 3/4 = 5.75
(-1/2)² = 1/4
Now, substitute these values back into the expression:
1/27 + 5.75 ÷ 1/4
Next, perform the division:
5.75 ÷ 1/4 = 5.75 * 4 = 23
Now, add the fractions:
1/27 + 23 = 1/27 + 621/27 = 622/27
Therefore, the final answer is 622/27.