Solve (4/3)(21/2)=(4/3)(3/4)(h)

$$( \frac { 4 } { 3 } ) ( \frac { 21 } { 2 } ) = ( \frac { 4 } { 3 } ) ( \frac { 3 } { 4 } ) ( h )$$

Solve for h

$$h=14$$

Steps for Solving Linear Equation

Cancel out \frac{4}{3} on both sides.

$$\frac{21}{2}=\frac{3}{4}h$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$\frac{21}{2}\times \frac{4}{3}=h$$

Multiply \frac{21}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 4}{2\times 3}=h$$

Do the multiplications in the fraction \frac{21\times 4}{2\times 3}.

$$\frac{84}{6}=h$$

Divide 84 by 6 to get 14.

$$14=h$$

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

$$h=14$$