Solve 1.6/x=1.27/5.12*5/100

$$\frac{ 1.6 }{ x } = \frac{ 1.27 }{ 5.12 } \times \frac{ 5 }{ 100 }$$

Solve for x

$$x = \frac{16384}{127} = 129\frac{1}{127} \approx 129.007874016$$

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 100x, the least common multiple of x,100.

$$100\times 1.6=\frac{625}{32}x\times 1.27\times \frac{5}{100}$$

Multiply 100 and 1.6 to get 160.

$$160=\frac{625}{32}x\times 1.27\times \frac{5}{100}$$

Convert decimal number 1.27 to fraction \frac{127}{100}.

$$160=\frac{625}{32}x\times \frac{127}{100}\times \frac{5}{100}$$

Multiply \frac{625}{32} times \frac{127}{100} by multiplying numerator times numerator and denominator times denominator.

$$160=\frac{625\times 127}{32\times 100}x\times \frac{5}{100}$$

Do the multiplications in the fraction \frac{625\times 127}{32\times 100}.

$$160=\frac{79375}{3200}x\times \frac{5}{100}$$

Reduce the fraction \frac{79375}{3200} to lowest terms by extracting and canceling out 25.

$$160=\frac{3175}{128}x\times \frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$160=\frac{3175}{128}x\times \frac{1}{20}$$

Multiply \frac{3175}{128} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$160=\frac{3175\times 1}{128\times 20}x$$

Do the multiplications in the fraction \frac{3175\times 1}{128\times 20}.

$$160=\frac{3175}{2560}x$$

Reduce the fraction \frac{3175}{2560} to lowest terms by extracting and canceling out 5.

$$160=\frac{635}{512}x$$

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

$$\frac{635}{512}x=160$$

Multiply both sides by \frac{512}{635}, the reciprocal of \frac{635}{512}.

$$x=160\times \frac{512}{635}$$

Express 160\times \frac{512}{635} as a single fraction.

$$x=\frac{160\times 512}{635}$$

Multiply 160 and 512 to get 81920.

$$x=\frac{81920}{635}$$

Reduce the fraction \frac{81920}{635} to lowest terms by extracting and canceling out 5.

$$x=\frac{16384}{127}$$