Solve x*4/5=5/12div8/9

$$x \times \frac{ 4 }{ 5 } = \frac{ 5 }{ 12 } \div \frac{ 8 }{ 9 }$$

Solve for x

$$x=\frac{75}{128}=0.5859375$$

Steps for Solving Linear Equation

Divide \frac{5}{12} by \frac{8}{9} by multiplying \frac{5}{12} by the reciprocal of \frac{8}{9}.

$$x\times \frac{4}{5}=\frac{5}{12}\times \frac{9}{8}$$

Multiply \frac{5}{12} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{4}{5}=\frac{5\times 9}{12\times 8}$$

Do the multiplications in the fraction \frac{5\times 9}{12\times 8}.

$$x\times \frac{4}{5}=\frac{45}{96}$$

Reduce the fraction \frac{45}{96} to lowest terms by extracting and canceling out 3.

$$x\times \frac{4}{5}=\frac{15}{32}$$

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

$$x=\frac{15}{32}\times \frac{5}{4}$$

Multiply \frac{15}{32} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 5}{32\times 4}$$

Do the multiplications in the fraction \frac{15\times 5}{32\times 4}.

$$x=\frac{75}{128}$$