Solve 96div(3*3.2^2*0.52*6)*1.7

$$96 \div (3 \times { 3.2 }^{ 2 } \times 0.52 \times 6) \times 1.7$$

Evaluate

$$\frac{2125}{1248}\approx 1.702724359$$

Solution Steps

Calculate 3.2 to the power of 2 and get 10.24.

$$\frac{96}{3\times 10.24\times 0.52\times 6}\times 1.7$$

Multiply 3 and 10.24 to get 30.72.

$$\frac{96}{30.72\times 0.52\times 6}\times 1.7$$

Multiply 30.72 and 0.52 to get 15.9744.

$$\frac{96}{15.9744\times 6}\times 1.7$$

Multiply 15.9744 and 6 to get 95.8464.

$$\frac{96}{95.8464}\times 1.7$$

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

$$\frac{960000}{958464}\times 1.7$$

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

$$\frac{625}{624}\times 1.7$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$\frac{625}{624}\times \frac{17}{10}$$

Multiply \frac{625}{624} times \frac{17}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{625\times 17}{624\times 10}$$

Do the multiplications in the fraction \frac{625\times 17}{624\times 10}.

$$\frac{10625}{6240}$$

Reduce the fraction \frac{10625}{6240} to lowest terms by extracting and canceling out 5.

$$\frac{2125}{1248}$$

Factor

$$\frac{17 \cdot 5 ^ {3}}{3 \cdot 13 \cdot 2 ^ {5}} = 1\frac{877}{1248} = 1.702724358974359$$