Solve frac{a_{7}}{3/32}=7/12

$$\frac { a _ { 7 } } { \frac { 3 } { 32 } } = \frac { 7 } { 12 }$$

Solve for a_7

$$a_{7}=\frac{7}{128}=0.0546875$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{32}.

$$a_{7}=\frac{7}{12}\times \frac{3}{32}$$

Multiply \frac{7}{12} times \frac{3}{32} by multiplying numerator times numerator and denominator times denominator.

$$a_{7}=\frac{7\times 3}{12\times 32}$$

Do the multiplications in the fraction \frac{7\times 3}{12\times 32}.

$$a_{7}=\frac{21}{384}$$

Reduce the fraction \frac{21}{384} to lowest terms by extracting and canceling out 3.

$$a_{7}=\frac{7}{128}$$