Solve frac{a_{6}}{5/32}=6/10

$$\frac { a _ { 6 } } { \frac { 5 } { 32 } } = \frac { 6 } { 10 }$$

Solve for a_6

$$a_{6}=\frac{3}{32}=0.09375$$

Steps for Solving Linear Equation

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

$$\frac{a_{6}}{\frac{5}{32}}=\frac{3}{5}$$

Multiply both sides by \frac{5}{32}.

$$a_{6}=\frac{3}{5}\times \frac{5}{32}$$

Multiply \frac{3}{5} times \frac{5}{32} by multiplying numerator times numerator and denominator times denominator.

$$a_{6}=\frac{3\times 5}{5\times 32}$$

Cancel out 5 in both numerator and denominator.

$$a_{6}=\frac{3}{32}$$