Solve 5/x=14/35*8/5*4/frac{1{frac{4}{3}}}

$$\frac{ 5 }{ x } = \frac{ 14 }{ 35 } \times \frac{ 8 }{ 5 } \times \frac{ 4 }{ \frac{ 1 }{ \frac{ 4 }{ 3 } } }$$

Solve for x

$$x = \frac{375}{256} = 1\frac{119}{256} = 1.46484375$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 35x, the least common multiple of x,35,5.

$$35\times 5=x\times 14\times \frac{8}{5}\times \frac{4}{\frac{1}{\frac{4}{3}}}$$

Multiply 35 and 5 to get 175.

$$175=x\times 14\times \frac{8}{5}\times \frac{4}{\frac{1}{\frac{4}{3}}}$$

Express 14\times \frac{8}{5} as a single fraction.

$$175=x\times \frac{14\times 8}{5}\times \frac{4}{\frac{1}{\frac{4}{3}}}$$

Multiply 14 and 8 to get 112.

$$175=x\times \frac{112}{5}\times \frac{4}{\frac{1}{\frac{4}{3}}}$$

Divide 4 by \frac{1}{\frac{4}{3}} by multiplying 4 by the reciprocal of \frac{1}{\frac{4}{3}}.

$$175=x\times \frac{112}{5}\times 4\times \frac{4}{3}$$

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

$$175=x\times \frac{112}{5}\times \frac{4\times 4}{3}$$

Multiply 4 and 4 to get 16.

$$175=x\times \frac{112}{5}\times \frac{16}{3}$$

Multiply \frac{112}{5} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$175=x\times \frac{112\times 16}{5\times 3}$$

Do the multiplications in the fraction \frac{112\times 16}{5\times 3}.

$$175=x\times \frac{1792}{15}$$

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

$$x\times \frac{1792}{15}=175$$

Multiply both sides by \frac{15}{1792}, the reciprocal of \frac{1792}{15}.

$$x=175\times \frac{15}{1792}$$

Express 175\times \frac{15}{1792} as a single fraction.

$$x=\frac{175\times 15}{1792}$$

Multiply 175 and 15 to get 2625.

$$x=\frac{2625}{1792}$$

Reduce the fraction \frac{2625}{1792} to lowest terms by extracting and canceling out 7.

$$x=\frac{375}{256}$$