Solve (58*10^-9)(17.8*10^9)/(9.8*10^-9)(5.8*10^9)

$$\frac { ( 58 \times 10 ^ { - 9 } ) ( 17.8 \times 10 ^ { 9 } ) } { ( 9.8 \times 10 ^ { - 9 } ) ( 5.8 \times 10 ^ { 9 } ) }$$

Evaluate

$$\frac{890}{49}\approx 18.163265306$$

Solution Steps

Multiply 10^{-9} and 10^{9} to get 1.

$$\frac{58\times 17.8}{9.8\times 10^{-9}\times 5.8\times 10^{9}}$$

Multiply 10^{-9} and 10^{9} to get 1.

$$\frac{58\times 17.8}{9.8\times 5.8}$$

Multiply 58 and 17.8 to get 1032.4.

$$\frac{1032.4}{9.8\times 5.8}$$

Multiply 9.8 and 5.8 to get 56.84.

$$\frac{1032.4}{56.84}$$

Expand \frac{1032.4}{56.84} by multiplying both numerator and the denominator by 100.

$$\frac{103240}{5684}$$

Reduce the fraction \frac{103240}{5684} to lowest terms by extracting and canceling out 116.

$$\frac{890}{49}$$

Factor

$$\frac{2 \cdot 5 \cdot 89}{7 ^ {2}} = 18\frac{8}{49} = 18.163265306122447$$