Solve 1/5.600=1.416/x

$$\frac { 1 } { 5.600 } = \frac { 1.416 } { x }$$

Solve for x

$$x=7.9296$$

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 x.

$$x\times \frac{1}{5.6}=1.416$$

Expand \frac{1}{5.6} by multiplying both numerator and the denominator by 10.

$$x\times \frac{10}{56}=1.416$$

Reduce the fraction \frac{10}{56} to lowest terms by extracting and canceling out 2.

$$x\times \frac{5}{28}=1.416$$

Multiply both sides by \frac{28}{5}, the reciprocal of \frac{5}{28}.

$$x=1.416\times \frac{28}{5}$$

Convert decimal number 1.416 to fraction \frac{1416}{1000}. Reduce the fraction \frac{1416}{1000} to lowest terms by extracting and canceling out 8.

$$x=\frac{177}{125}\times \frac{28}{5}$$

Multiply \frac{177}{125} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{177\times 28}{125\times 5}$$

Do the multiplications in the fraction \frac{177\times 28}{125\times 5}.

$$x=\frac{4956}{625}$$