Solve x/1.6=8.7/2.7

$$\frac { x } { 1.6 } = \frac { 8.7 } { 2.7 }$$

Solve for x

$$x = \frac{232}{45} = 5\frac{7}{45} \approx 5.155555556$$

Steps for Solving Linear Equation

Expand \frac{8.7}{2.7} by multiplying both numerator and the denominator by 10.

$$\frac{x}{1.6}=\frac{87}{27}$$

Reduce the fraction \frac{87}{27} to lowest terms by extracting and canceling out 3.

$$\frac{x}{1.6}=\frac{29}{9}$$

Multiply both sides by 1.6.

$$x=\frac{29}{9}\times 1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{29}{9}\times \frac{8}{5}$$

Multiply \frac{29}{9} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{29\times 8}{9\times 5}$$

Do the multiplications in the fraction \frac{29\times 8}{9\times 5}.

$$x=\frac{232}{45}$$