Solve 6.10^23/x=95/0.075

$$\frac { 6.10 ^ { 23 } } { x } = \frac { 95 } { 0.075 }$$

Solve for x

$$x=\frac{346503367738753165776415738373717275944543}{380000000000000000000000000}\approx 9.118509677 \cdot 10^{14}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$6.1^{23}=x\times \frac{95}{0.075}$$

Calculate 6.1 to the power of 23 and get 1155011225795843885.92138579457905758648181.

$$1155011225795843885.92138579457905758648181=x\times \frac{95}{0.075}$$

Expand \frac{95}{0.075} by multiplying both numerator and the denominator by 1000.

$$1155011225795843885.92138579457905758648181=x\times \frac{95000}{75}$$

Reduce the fraction \frac{95000}{75} to lowest terms by extracting and canceling out 25.

$$1155011225795843885.92138579457905758648181=x\times \frac{3800}{3}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{3800}{3}=1155011225795843885.92138579457905758648181$$

Multiply both sides by \frac{3}{3800}, the reciprocal of \frac{3800}{3}.

$$x=1155011225795843885.92138579457905758648181\times \frac{3}{3800}$$

Convert decimal number 1155011225795843885.92138579457905758648181 to fraction \frac{115501122579584388592138579457905758648181}{10000000000}. Reduce the fraction \frac{115501122579584388592138579457905758648181}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{115501122579584388592138579457905758648181}{100000000000000000000000}\times \frac{3}{3800}$$

Multiply \frac{115501122579584388592138579457905758648181}{100000000000000000000000} times \frac{3}{3800} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{115501122579584388592138579457905758648181\times 3}{100000000000000000000000\times 3800}$$

Do the multiplications in the fraction \frac{115501122579584388592138579457905758648181\times 3}{100000000000000000000000\times 3800}.

$$x=\frac{346503367738753165776415738373717275944543}{380000000000000000000000000}$$