Solve 0.67/frac{1{2}1.8^2}=a

$$\frac{ 0.67 }{ \frac{ 1 }{ 2 } { 1.8 }^{ 2 } } = a$$

Solve for a

$$a=\frac{67}{162}\approx 0.413580247$$

Steps for Solving Linear Equation

Calculate 1.8 to the power of 2 and get 3.24.

$$\frac{0.67}{\frac{1}{2}\times 3.24}=a$$

Convert decimal number 3.24 to fraction \frac{324}{100}. Reduce the fraction \frac{324}{100} to lowest terms by extracting and canceling out 4.

$$\frac{0.67}{\frac{1}{2}\times \frac{81}{25}}=a$$

Multiply \frac{1}{2} times \frac{81}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{0.67}{\frac{1\times 81}{2\times 25}}=a$$

Do the multiplications in the fraction \frac{1\times 81}{2\times 25}.

$$\frac{0.67}{\frac{81}{50}}=a$$

Divide 0.67 by \frac{81}{50} by multiplying 0.67 by the reciprocal of \frac{81}{50}.

$$0.67\times \frac{50}{81}=a$$

Convert decimal number 0.67 to fraction \frac{67}{100}.

$$\frac{67}{100}\times \frac{50}{81}=a$$

Multiply \frac{67}{100} times \frac{50}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{67\times 50}{100\times 81}=a$$

Do the multiplications in the fraction \frac{67\times 50}{100\times 81}.

$$\frac{3350}{8100}=a$$

Reduce the fraction \frac{3350}{8100} to lowest terms by extracting and canceling out 50.

$$\frac{67}{162}=a$$

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

$$a=\frac{67}{162}$$