Solve 87.65=1/3(3.3)(x)(9.3)

$$87.65= \frac{ 1 }{ 3 } (3.3)(x)(9.3)$$

Solve for x

$$x = \frac{8765}{1023} = 8\frac{581}{1023} \approx 8.567937439$$

Steps for Solving Linear Equation

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$87.65=\frac{1}{3}\times \frac{33}{10}x\times 9.3$$

Multiply \frac{1}{3} times \frac{33}{10} by multiplying numerator times numerator and denominator times denominator.

$$87.65=\frac{1\times 33}{3\times 10}x\times 9.3$$

Do the multiplications in the fraction \frac{1\times 33}{3\times 10}.

$$87.65=\frac{33}{30}x\times 9.3$$

Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.

$$87.65=\frac{11}{10}x\times 9.3$$

Convert decimal number 9.3 to fraction \frac{93}{10}.

$$87.65=\frac{11}{10}x\times \frac{93}{10}$$

Multiply \frac{11}{10} times \frac{93}{10} by multiplying numerator times numerator and denominator times denominator.

$$87.65=\frac{11\times 93}{10\times 10}x$$

Do the multiplications in the fraction \frac{11\times 93}{10\times 10}.

$$87.65=\frac{1023}{100}x$$

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

$$\frac{1023}{100}x=87.65$$

Multiply both sides by \frac{100}{1023}, the reciprocal of \frac{1023}{100}.

$$x=87.65\times \frac{100}{1023}$$

Convert decimal number 87.65 to fraction \frac{8765}{100}. Reduce the fraction \frac{8765}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{1753}{20}\times \frac{100}{1023}$$

Multiply \frac{1753}{20} times \frac{100}{1023} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1753\times 100}{20\times 1023}$$

Do the multiplications in the fraction \frac{1753\times 100}{20\times 1023}.

$$x=\frac{175300}{20460}$$

Reduce the fraction \frac{175300}{20460} to lowest terms by extracting and canceling out 20.

$$x=\frac{8765}{1023}$$