Solve 0.44*0.926/3.5*x=0.926

$$\frac { 0.44 \times 0.926 } { 3.5 } \times x = 0.926$$

Solve for x

$$x = \frac{175}{22} = 7\frac{21}{22} \approx 7.954545455$$

Steps for Solving Linear Equation

Multiply 0.44 and 0.926 to get 0.40744.

$$\frac{0.40744}{3.5}x=0.926$$

Expand \frac{0.40744}{3.5} by multiplying both numerator and the denominator by 100000.

$$\frac{40744}{350000}x=0.926$$

Reduce the fraction \frac{40744}{350000} to lowest terms by extracting and canceling out 8.

$$\frac{5093}{43750}x=0.926$$

Multiply both sides by \frac{43750}{5093}, the reciprocal of \frac{5093}{43750}.

$$x=0.926\times \frac{43750}{5093}$$

Convert decimal number 0.926 to fraction \frac{926}{1000}. Reduce the fraction \frac{926}{1000} to lowest terms by extracting and canceling out 2.

$$x=\frac{463}{500}\times \frac{43750}{5093}$$

Multiply \frac{463}{500} times \frac{43750}{5093} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{463\times 43750}{500\times 5093}$$

Do the multiplications in the fraction \frac{463\times 43750}{500\times 5093}.

$$x=\frac{20256250}{2546500}$$

Reduce the fraction \frac{20256250}{2546500} to lowest terms by extracting and canceling out 115750.

$$x=\frac{175}{22}$$