Solve 314=1div3*3.14*25*x

$$314=1 \div 3 \times 3.14 \times 25 \times x$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$314=\frac{1}{3}\times \frac{157}{50}\times 25x$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$314=\frac{1\times 157}{3\times 50}\times 25x$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$314=\frac{157}{150}\times 25x$$

Express \frac{157}{150}\times 25 as a single fraction.

$$314=\frac{157\times 25}{150}x$$

Multiply 157 and 25 to get 3925.

$$314=\frac{3925}{150}x$$

Reduce the fraction \frac{3925}{150} to lowest terms by extracting and canceling out 25.

$$314=\frac{157}{6}x$$

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

$$\frac{157}{6}x=314$$

Multiply both sides by \frac{6}{157}, the reciprocal of \frac{157}{6}.

$$x=314\times \frac{6}{157}$$

Express 314\times \frac{6}{157} as a single fraction.

$$x=\frac{314\times 6}{157}$$

Multiply 314 and 6 to get 1884.

$$x=\frac{1884}{157}$$

Divide 1884 by 157 to get 12.

$$x=12$$