Solve x:5/14=2.8:0.375

$$x : \frac { 5 } { 14 } = 2.8 : 0.375$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Expand \frac{2.8}{0.375} by multiplying both numerator and the denominator by 1000.

$$\frac{x}{\frac{5}{14}}=\frac{2800}{375}$$

Reduce the fraction \frac{2800}{375} to lowest terms by extracting and canceling out 25.

$$\frac{x}{\frac{5}{14}}=\frac{112}{15}$$

Multiply both sides by \frac{5}{14}.

$$x=\frac{112}{15}\times \frac{5}{14}$$

Multiply \frac{112}{15} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{112\times 5}{15\times 14}$$

Do the multiplications in the fraction \frac{112\times 5}{15\times 14}.

$$x=\frac{560}{210}$$

Reduce the fraction \frac{560}{210} to lowest terms by extracting and canceling out 70.

$$x=\frac{8}{3}$$