Solve (23/7-2):1/14

$$( 2 \frac { 3 } { 7 } - 2 ) : \frac { 1 } { 14 }$$

Evaluate

$$6$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{\frac{14+3}{7}-2}{\frac{1}{14}}$$

Add 14 and 3 to get 17.

$$\frac{\frac{17}{7}-2}{\frac{1}{14}}$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{\frac{17}{7}-\frac{14}{7}}{\frac{1}{14}}$$

Since \frac{17}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{17-14}{7}}{\frac{1}{14}}$$

Subtract 14 from 17 to get 3.

$$\frac{\frac{3}{7}}{\frac{1}{14}}$$

Divide \frac{3}{7} by \frac{1}{14} by multiplying \frac{3}{7} by the reciprocal of \frac{1}{14}.

$$\frac{3}{7}\times 14$$

Express \frac{3}{7}\times 14 as a single fraction.

$$\frac{3\times 14}{7}$$

Multiply 3 and 14 to get 42.

$$\frac{42}{7}$$

Divide 42 by 7 to get 6.

$$6$$

Factor

$$2\times 3$$