Solve 214/0.00810=frac{V_{2}}{0.00684}

$$\frac { 214 } { 0.00810 } = \frac { V _ { 2 } } { 0.00684 }$$

Solve for V_2

$$V_{2} = \frac{8132}{45} = 180\frac{32}{45} \approx 180.711111111$$

Steps for Solving Linear Equation

Expand \frac{214}{0.0081} by multiplying both numerator and the denominator by 10000.

$$\frac{2140000}{81}=\frac{V_{2}}{0.00684}$$

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

$$\frac{V_{2}}{0.00684}=\frac{2140000}{81}$$

Multiply both sides by 0.00684.

$$V_{2}=\frac{2140000}{81}\times 0.00684$$

Convert decimal number 0.00684 to fraction \frac{684}{100000}. Reduce the fraction \frac{684}{100000} to lowest terms by extracting and canceling out 4.

$$V_{2}=\frac{2140000}{81}\times \frac{171}{25000}$$

Multiply \frac{2140000}{81} times \frac{171}{25000} by multiplying numerator times numerator and denominator times denominator.

$$V_{2}=\frac{2140000\times 171}{81\times 25000}$$

Do the multiplications in the fraction \frac{2140000\times 171}{81\times 25000}.

$$V_{2}=\frac{365940000}{2025000}$$

Reduce the fraction \frac{365940000}{2025000} to lowest terms by extracting and canceling out 45000.

$$V_{2}=\frac{8132}{45}$$