Solve 725:x=1:1.6

$$725 : x = 1 : 1.6$$

Solve for x

$$x=1160$$

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.

$$725=x\times \frac{1}{1.6}$$

Expand \frac{1}{1.6} by multiplying both numerator and the denominator by 10.

$$725=x\times \frac{10}{16}$$

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

$$725=x\times \frac{5}{8}$$

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

$$x\times \frac{5}{8}=725$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=725\times \frac{8}{5}$$

Express 725\times \frac{8}{5} as a single fraction.

$$x=\frac{725\times 8}{5}$$

Multiply 725 and 8 to get 5800.

$$x=\frac{5800}{5}$$

Divide 5800 by 5 to get 1160.

$$x=1160$$