Solve 3/6-frac{7{3}}

$$\frac{ 3 }{ 6- \frac{ 7 }{ 3 } }$$

Evaluate

$$\frac{9}{11}\approx 0.818181818$$

Solution Steps

Convert 6 to fraction \frac{18}{3}.

$$\frac{3}{\frac{18}{3}-\frac{7}{3}}$$

Since \frac{18}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{18-7}{3}}$$

Subtract 7 from 18 to get 11.

$$\frac{3}{\frac{11}{3}}$$

Divide 3 by \frac{11}{3} by multiplying 3 by the reciprocal of \frac{11}{3}.

$$3\times \frac{3}{11}$$

Express 3\times \frac{3}{11} as a single fraction.

$$\frac{3\times 3}{11}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{11}$$

Factor

$$\frac{3 ^ {2}}{11} = 0.8181818181818182$$