Solve 14/63*62^2/5

$$\frac{ 14 }{ 63 } \times \frac{ { 62 }^{ 2 } }{ 5 }$$

Evaluate

$$\frac{7688}{45}\approx 170.844444444$$

Solution Steps

Reduce the fraction \frac{14}{63} to lowest terms by extracting and canceling out 7.

$$\frac{2}{9}\times \frac{62^{2}}{5}$$

Calculate 62 to the power of 2 and get 3844.

$$\frac{2}{9}\times \frac{3844}{5}$$

Multiply \frac{2}{9} times \frac{3844}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3844}{9\times 5}$$

Do the multiplications in the fraction \frac{2\times 3844}{9\times 5}.

$$\frac{7688}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 31 ^ {2}}{3 ^ {2} \cdot 5} = 170\frac{38}{45} = 170.84444444444443$$