Solve 1/2*9.8x=88.2

$$\frac{ 1 }{ 2 } \times 9.8x=88.2$$

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{49}{5}x=88.2$$

Multiply \frac{1}{2} times \frac{49}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{2\times 5}x=88.2$$

Do the multiplications in the fraction \frac{1\times 49}{2\times 5}.

$$\frac{49}{10}x=88.2$$

Multiply both sides by \frac{10}{49}, the reciprocal of \frac{49}{10}.

$$x=88.2\times \frac{10}{49}$$

Convert decimal number 88.2 to fraction \frac{882}{10}. Reduce the fraction \frac{882}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{441}{5}\times \frac{10}{49}$$

Multiply \frac{441}{5} times \frac{10}{49} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{441\times 10}{5\times 49}$$

Do the multiplications in the fraction \frac{441\times 10}{5\times 49}.

$$x=\frac{4410}{245}$$

Divide 4410 by 245 to get 18.

$$x=18$$