Solve 1015:9.3=40:x

$$1015 : 9.3 = 40 : x$$

Solve for x

$$x=\frac{372}{1015}\approx 0.366502463$$

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.

$$x\times \frac{1015}{9.3}=40$$

Expand \frac{1015}{9.3} by multiplying both numerator and the denominator by 10.

$$x\times \frac{10150}{93}=40$$

Multiply both sides by \frac{93}{10150}, the reciprocal of \frac{10150}{93}.

$$x=40\times \frac{93}{10150}$$

Express 40\times \frac{93}{10150} as a single fraction.

$$x=\frac{40\times 93}{10150}$$

Multiply 40 and 93 to get 3720.

$$x=\frac{3720}{10150}$$

Reduce the fraction \frac{3720}{10150} to lowest terms by extracting and canceling out 10.

$$x=\frac{372}{1015}$$