Solve (0.62)(10)/[1-frac{0.76{3.6}]^2}

$$\frac { ( 0.62 ) ( 10 ) } { [ 1 - \frac { 0.76 } { 3.6 } ] ^ { 2 } }$$

Evaluate

$$\frac{50220}{5041}\approx 9.962309066$$

Solution Steps

Multiply 0.62 and 10 to get 6.2.

$$\frac{6.2}{\left(1-\frac{0.76}{3.6}\right)^{2}}$$

Expand \frac{0.76}{3.6} by multiplying both numerator and the denominator by 100.

$$\frac{6.2}{\left(1-\frac{76}{360}\right)^{2}}$$

Reduce the fraction \frac{76}{360} to lowest terms by extracting and canceling out 4.

$$\frac{6.2}{\left(1-\frac{19}{90}\right)^{2}}$$

Subtract \frac{19}{90} from 1 to get \frac{71}{90}.

$$\frac{6.2}{\left(\frac{71}{90}\right)^{2}}$$

Calculate \frac{71}{90} to the power of 2 and get \frac{5041}{8100}.

$$\frac{6.2}{\frac{5041}{8100}}$$

Divide 6.2 by \frac{5041}{8100} by multiplying 6.2 by the reciprocal of \frac{5041}{8100}.

$$6.2\times \frac{8100}{5041}$$

Multiply 6.2 and \frac{8100}{5041} to get \frac{50220}{5041}.

$$\frac{50220}{5041}$$

Factor

$$\frac{5 \cdot 31 \cdot 2 ^ {2} \cdot 3 ^ {4}}{71 ^ {2}} = 9\frac{4851}{5041} = 9.962309065661575$$