Solve frac{a_{6}}{5/3^2}=6/10

$$\frac { a _ { 6 } } { \frac { 5 } { 3 ^ { 2 } } } = \frac { 6 } { 10 }$$

Solve for a_6

$$a_{6}=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Divide a_{6} by \frac{5}{3^{2}} by multiplying a_{6} by the reciprocal of \frac{5}{3^{2}}.

$$\frac{a_{6}\times 3^{2}}{5}=\frac{6}{10}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{a_{6}\times 9}{5}=\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{a_{6}\times 9}{5}=\frac{3}{5}$$

Multiply both sides by 5.

$$a_{6}\times 9=\frac{3}{5}\times 5$$

Cancel out 5 and 5.

$$a_{6}\times 9=3$$

Divide both sides by 9.

$$a_{6}=\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$a_{6}=\frac{1}{3}$$