Solve 1/2(729)(0.7679)(0.9862)/(0.5050)

$$\frac { 1 } { 2 } \frac { ( 729 ) ( 0.7679 ) ( 0.9862 ) } { ( 0.5050 ) }$$

Evaluate

$$\frac{27603693621}{50500000}\approx 546.607794475$$

Solution Steps

Multiply 729 and 0.7679 to get 559.7991.

$$\frac{1}{2}\times \frac{559.7991\times 0.9862}{0.505}$$

Multiply 559.7991 and 0.9862 to get 552.07387242.

$$\frac{1}{2}\times \frac{552.07387242}{0.505}$$

Expand \frac{552.07387242}{0.505} by multiplying both numerator and the denominator by 100000000.

$$\frac{1}{2}\times \frac{55207387242}{50500000}$$

Reduce the fraction \frac{55207387242}{50500000} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{27603693621}{25250000}$$

Multiply \frac{1}{2} times \frac{27603693621}{25250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27603693621}{2\times 25250000}$$

Do the multiplications in the fraction \frac{1\times 27603693621}{2\times 25250000}.

$$\frac{27603693621}{50500000}$$

Factor

$$\frac{7 \cdot 1097 \cdot 4931 \cdot 3 ^ {6}}{101 \cdot 2 ^ {5} \cdot 5 ^ {6}} = 546\frac{30693621}{50500000} = 546.6077944752475$$