Solve 3/4/frac{9{16}}=z/6

$$\frac { \frac { 3 } { 4 } } { \frac { 9 } { 16 } } = \frac { z } { 6 }$$

Solve for z

$$z=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6\times \frac{\frac{3}{4}}{\frac{9}{16}}=z$$

Divide \frac{3}{4} by \frac{9}{16} by multiplying \frac{3}{4} by the reciprocal of \frac{9}{16}.

$$6\times \frac{3}{4}\times \frac{16}{9}=z$$

Multiply \frac{3}{4} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$6\times \frac{3\times 16}{4\times 9}=z$$

Do the multiplications in the fraction \frac{3\times 16}{4\times 9}.

$$6\times \frac{48}{36}=z$$

Reduce the fraction \frac{48}{36} to lowest terms by extracting and canceling out 12.

$$6\times \frac{4}{3}=z$$

Express 6\times \frac{4}{3} as a single fraction.

$$\frac{6\times 4}{3}=z$$

Multiply 6 and 4 to get 24.

$$\frac{24}{3}=z$$

Divide 24 by 3 to get 8.

$$8=z$$

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

$$z=8$$