Solve 2-2/3div4/5-1/6

$$2 - \frac { 2 } { 3 } \div \frac { 4 } { 5 } - \frac { 1 } { 6 }$$

Evaluate

$$1$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{5} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{5}.

$$2-\frac{2}{3}\times \frac{5}{4}-\frac{1}{6}$$

Multiply \frac{2}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{2\times 5}{3\times 4}-\frac{1}{6}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 4}.

$$2-\frac{10}{12}-\frac{1}{6}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$2-\frac{5}{6}-\frac{1}{6}$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{12}{6}-\frac{5}{6}-\frac{1}{6}$$

Since \frac{12}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{6}-\frac{1}{6}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{6}-\frac{1}{6}$$

Since \frac{7}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-1}{6}$$

Subtract 1 from 7 to get 6.

$$\frac{6}{6}$$

Divide 6 by 6 to get 1.

$$1$$

Factor

$$1$$