Solve 1540=22/7*12.25*x

$$1540= \frac{ 22 }{ 7 } \times 12.25 \times x$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Convert decimal number 12.25 to fraction \frac{1225}{100}. Reduce the fraction \frac{1225}{100} to lowest terms by extracting and canceling out 25.

$$1540=\frac{22}{7}\times \frac{49}{4}x$$

Multiply \frac{22}{7} times \frac{49}{4} by multiplying numerator times numerator and denominator times denominator.

$$1540=\frac{22\times 49}{7\times 4}x$$

Do the multiplications in the fraction \frac{22\times 49}{7\times 4}.

$$1540=\frac{1078}{28}x$$

Reduce the fraction \frac{1078}{28} to lowest terms by extracting and canceling out 14.

$$1540=\frac{77}{2}x$$

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

$$\frac{77}{2}x=1540$$

Multiply both sides by \frac{2}{77}, the reciprocal of \frac{77}{2}.

$$x=1540\times \frac{2}{77}$$

Express 1540\times \frac{2}{77} as a single fraction.

$$x=\frac{1540\times 2}{77}$$

Multiply 1540 and 2 to get 3080.

$$x=\frac{3080}{77}$$

Divide 3080 by 77 to get 40.

$$x=40$$