Solve 96div(3*3.2^2*0.52*6)

$$96 \div (3 \times { 3.2 }^{ 2 } \times 0.52 \times 6)$$

Evaluate

$$\frac{625}{624}\approx 1.001602564$$

Solution Steps

Calculate 3.2 to the power of 2 and get 10.24.

$$\frac{96}{3\times 10.24\times 0.52\times 6}$$

Multiply 3 and 10.24 to get 30.72.

$$\frac{96}{30.72\times 0.52\times 6}$$

Multiply 30.72 and 0.52 to get 15.9744.

$$\frac{96}{15.9744\times 6}$$

Multiply 15.9744 and 6 to get 95.8464.

$$\frac{96}{95.8464}$$

Expand \frac{96}{95.8464} by multiplying both numerator and the denominator by 10000.

$$\frac{960000}{958464}$$

Reduce the fraction \frac{960000}{958464} to lowest terms by extracting and canceling out 1536.

$$\frac{625}{624}$$

Factor

$$\frac{5 ^ {4}}{3 \cdot 13 \cdot 2 ^ {4}} = 1\frac{1}{624} = 1.001602564102564$$