Solve 4/5h=8/9

$$\frac { 4 } { 5 } h = \frac { 8 } { 9 }$$

Solve for h

$$h = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$h=\frac{8}{9}\times \frac{5}{4}$$

Multiply \frac{8}{9} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$h=\frac{8\times 5}{9\times 4}$$

Do the multiplications in the fraction \frac{8\times 5}{9\times 4}.

$$h=\frac{40}{36}$$

Reduce the fraction \frac{40}{36} to lowest terms by extracting and canceling out 4.

$$h=\frac{10}{9}$$