Solve 11/3-2/3/frac{6{5}}

$$\frac{ 11 }{ 3 } - \frac{ \frac{ 2 }{ 3 } }{ \frac{ 6 }{ 5 } }$$

Evaluate

$$\frac{28}{9}\approx 3.111111111$$

Solution Steps

Divide \frac{2}{3} by \frac{6}{5} by multiplying \frac{2}{3} by the reciprocal of \frac{6}{5}.

$$\frac{11}{3}-\frac{2}{3}\times \frac{5}{6}$$

Multiply \frac{2}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{3}-\frac{2\times 5}{3\times 6}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 6}.

$$\frac{11}{3}-\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}-\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{11}{3} and \frac{5}{9} to fractions with denominator 9.

$$\frac{33}{9}-\frac{5}{9}$$

Since \frac{33}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-5}{9}$$

Subtract 5 from 33 to get 28.

$$\frac{28}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {2}} = 3\frac{1}{9} = 3.111111111111111$$