Solve xdiv6/55=1/2div3/5

$$x \div \frac{ 6 }{ 55 } = \frac{ 1 }{ 2 } \div \frac{ 3 }{ 5 }$$

Solve for x

$$x=\frac{1}{11}\approx 0.090909091$$

Steps for Solving Linear Equation

Divide \frac{1}{2} by \frac{3}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{5}.

$$\frac{x}{\frac{6}{55}}=\frac{1}{2}\times \frac{5}{3}$$

Multiply \frac{1}{2} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\frac{6}{55}}=\frac{1\times 5}{2\times 3}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 3}.

$$\frac{x}{\frac{6}{55}}=\frac{5}{6}$$

Multiply both sides by \frac{6}{55}.

$$x=\frac{5}{6}\times \frac{6}{55}$$

Multiply \frac{5}{6} times \frac{6}{55} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 6}{6\times 55}$$

Cancel out 6 in both numerator and denominator.

$$x=\frac{5}{55}$$

Reduce the fraction \frac{5}{55} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{11}$$