Solve 0.67/frac{1{2}1.52^2}=a

$$\frac{ 0.67 }{ \frac{ 1 }{ 2 } { 1.52 }^{ 2 } } = a$$

Solve for a

$$a=\frac{1675}{2888}\approx 0.57998615$$

Steps for Solving Linear Equation

Calculate 1.52 to the power of 2 and get 2.3104.

$$\frac{0.67}{\frac{1}{2}\times 2.3104}=a$$

Convert decimal number 2.3104 to fraction \frac{23104}{10000}. Reduce the fraction \frac{23104}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{0.67}{\frac{1}{2}\times \frac{1444}{625}}=a$$

Multiply \frac{1}{2} times \frac{1444}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{0.67}{\frac{1\times 1444}{2\times 625}}=a$$

Do the multiplications in the fraction \frac{1\times 1444}{2\times 625}.

$$\frac{0.67}{\frac{1444}{1250}}=a$$

Reduce the fraction \frac{1444}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{0.67}{\frac{722}{625}}=a$$

Divide 0.67 by \frac{722}{625} by multiplying 0.67 by the reciprocal of \frac{722}{625}.

$$0.67\times \frac{625}{722}=a$$

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

$$\frac{67}{100}\times \frac{625}{722}=a$$

Multiply \frac{67}{100} times \frac{625}{722} by multiplying numerator times numerator and denominator times denominator.

$$\frac{67\times 625}{100\times 722}=a$$

Do the multiplications in the fraction \frac{67\times 625}{100\times 722}.

$$\frac{41875}{72200}=a$$

Reduce the fraction \frac{41875}{72200} to lowest terms by extracting and canceling out 25.

$$\frac{1675}{2888}=a$$

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

$$a=\frac{1675}{2888}$$