Solve 1.3*10^6/3.14*650*78*1.3/50^2

$$\frac { 1.3 \times 10 ^ { 6 } } { 3.14 \times 650 \times 78 } \times \frac { 1.3 } { 50 ^ { 2 } }$$

Evaluate

$$\frac{2}{471}\approx 0.004246285$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1.3\times 1000000}{3.14\times 650\times 78}\times \frac{1.3}{50^{2}}$$

Multiply 1.3 and 1000000 to get 1300000.

$$\frac{1300000}{3.14\times 650\times 78}\times \frac{1.3}{50^{2}}$$

Multiply 3.14 and 650 to get 2041.

$$\frac{1300000}{2041\times 78}\times \frac{1.3}{50^{2}}$$

Multiply 2041 and 78 to get 159198.

$$\frac{1300000}{159198}\times \frac{1.3}{50^{2}}$$

Reduce the fraction \frac{1300000}{159198} to lowest terms by extracting and canceling out 26.

$$\frac{50000}{6123}\times \frac{1.3}{50^{2}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{50000}{6123}\times \frac{1.3}{2500}$$

Expand \frac{1.3}{2500} by multiplying both numerator and the denominator by 10.

$$\frac{50000}{6123}\times \frac{13}{25000}$$

Multiply \frac{50000}{6123} times \frac{13}{25000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{50000\times 13}{6123\times 25000}$$

Do the multiplications in the fraction \frac{50000\times 13}{6123\times 25000}.

$$\frac{650000}{153075000}$$

Reduce the fraction \frac{650000}{153075000} to lowest terms by extracting and canceling out 325000.

$$\frac{2}{471}$$

Factor

$$\frac{2}{3 \cdot 157} = 0.004246284501061571$$