Solve 78/x=72/7.25

$$\frac { 78 } { x } = \frac { 72 } { 7.25 }$$

Solve for x

$$x = \frac{377}{48} = 7\frac{41}{48} \approx 7.854166667$$

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.

$$78=x\times \frac{72}{7.25}$$

Expand \frac{72}{7.25} by multiplying both numerator and the denominator by 100.

$$78=x\times \frac{7200}{725}$$

Reduce the fraction \frac{7200}{725} to lowest terms by extracting and canceling out 25.

$$78=x\times \frac{288}{29}$$

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

$$x\times \frac{288}{29}=78$$

Multiply both sides by \frac{29}{288}, the reciprocal of \frac{288}{29}.

$$x=78\times \frac{29}{288}$$

Express 78\times \frac{29}{288} as a single fraction.

$$x=\frac{78\times 29}{288}$$

Multiply 78 and 29 to get 2262.

$$x=\frac{2262}{288}$$

Reduce the fraction \frac{2262}{288} to lowest terms by extracting and canceling out 6.

$$x=\frac{377}{48}$$