Solve 16/x=127/512*5/100

$$\frac{ 16 }{ x } = \frac{ 127 }{ 512 } \times \frac{ 5 }{ 100 }$$

Solve for x

$$x = \frac{163840}{127} = 1290\frac{10}{127} \approx 1290.078740157$$

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 12800x, the least common multiple of x,512,100.

$$12800\times 16=\frac{127}{512}\times 128x\times 5$$

Multiply 12800 and 16 to get 204800.

$$204800=\frac{127}{512}\times 128x\times 5$$

Express \frac{127}{512}\times 128 as a single fraction.

$$204800=\frac{127\times 128}{512}x\times 5$$

Multiply 127 and 128 to get 16256.

$$204800=\frac{16256}{512}x\times 5$$

Reduce the fraction \frac{16256}{512} to lowest terms by extracting and canceling out 128.

$$204800=\frac{127}{4}x\times 5$$

Express \frac{127}{4}\times 5 as a single fraction.

$$204800=\frac{127\times 5}{4}x$$

Multiply 127 and 5 to get 635.

$$204800=\frac{635}{4}x$$

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

$$\frac{635}{4}x=204800$$

Multiply both sides by \frac{4}{635}, the reciprocal of \frac{635}{4}.

$$x=204800\times \frac{4}{635}$$

Express 204800\times \frac{4}{635} as a single fraction.

$$x=\frac{204800\times 4}{635}$$

Multiply 204800 and 4 to get 819200.

$$x=\frac{819200}{635}$$

Reduce the fraction \frac{819200}{635} to lowest terms by extracting and canceling out 5.

$$x=\frac{163840}{127}$$