Solve 19.25left(3.2*7.54right)^2/60div9.2

$$19.25 \frac{ { \left(3.2 \cdot 7.54 \right) }^{ 2 } }{ 60 } \div 9.2$$

Evaluate

$$\frac{21887866}{1078125}\approx 20.301788754$$

Solution Steps

Multiply 3.2 and 7.54 to get 24.128.

$$\frac{19.25\times \frac{24.128^{2}}{60}}{9.2}$$

Calculate 24.128 to the power of 2 and get 582.160384.

$$\frac{19.25\times \frac{582.160384}{60}}{9.2}$$

Expand \frac{582.160384}{60} by multiplying both numerator and the denominator by 1000000.

$$\frac{19.25\times \frac{582160384}{60000000}}{9.2}$$

Reduce the fraction \frac{582160384}{60000000} to lowest terms by extracting and canceling out 256.

$$\frac{19.25\times \frac{2274064}{234375}}{9.2}$$

Multiply 19.25 and \frac{2274064}{234375} to get \frac{43775732}{234375}.

$$\frac{\frac{43775732}{234375}}{9.2}$$

Express \frac{\frac{43775732}{234375}}{9.2} as a single fraction.

$$\frac{43775732}{234375\times 9.2}$$

Multiply 234375 and 9.2 to get 2156250.

$$\frac{43775732}{2156250}$$

Reduce the fraction \frac{43775732}{2156250} to lowest terms by extracting and canceling out 2.

$$\frac{21887866}{1078125}$$

Factor

$$\frac{2 \cdot 7 \cdot 11 \cdot 13 ^ {2} \cdot 29 ^ {2}}{3 \cdot 23 \cdot 5 ^ {6}} = 20\frac{325366}{1078125} = 20.30178875362319$$