-3%2F4-x(25%2F9)-3%2F2-divided-by-5%2F2%5E-3.jpeg "(81/16)-3/4 X(25/9)-3/2 Divided By 5/2^-3")
Solving the Complex Fractional Expression: (81/16) - 3/4 × (25/9) - 3/2 ÷ 5/2^(-3)
In this article, we will tackle the complex fractional expression (81/16) - 3/4 × (25/9) - 3/2 ÷ 5/2^(-3) and break it down step by step to solve it.
Step 1: Simplify the Fractional Expressions
First, let's simplify the fractional expressions:
- 81/16 = 5.0625 (approximately)
- 3/4 = 0.75
- 25/9 = 2.7778 (approximately)
- 3/2 = 1.5
Step 2: Evaluate the Expression
Now, let's evaluate the expression:
(81/16) - 3/4 × (25/9) - 3/2 ÷ 5/2^(-3)
= 5.0625 - 0.75 × 2.7778 - 1.5 ÷ (5/2)^(-3)
Step 3: Simplify the Exponentiation
Next, simplify the exponentiation:
(5/2)^(-3) = 0.125 (approximately)
Step 4: Evaluate the Division
Now, evaluate the division:
1.5 ÷ 0.125 = 12
Step 5: Simplify the Multiplication
Simplify the multiplication:
0.75 × 2.7778 = 2.0833 (approximately)
Step 6: Evaluate the Expression
Finally, evaluate the entire expression:
5.0625 - 2.0833 - 12
= -9.0208 (approximately)
Therefore, the solution to the complex fractional expression (81/16) - 3/4 × (25/9) - 3/2 ÷ 5/2^(-3) is approximately -9.0208.
