Solve 3-2/3/frac{4{3}*7}

$$\frac { 3 - \frac { 2 } { 3 } } { \frac { 4 } { 3 } \times 7 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Convert 3 to fraction \frac{9}{3}.

$$\frac{\frac{9}{3}-\frac{2}{3}}{\frac{4}{3}\times 7}$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-2}{3}}{\frac{4}{3}\times 7}$$

Subtract 2 from 9 to get 7.

$$\frac{\frac{7}{3}}{\frac{4}{3}\times 7}$$

Express \frac{4}{3}\times 7 as a single fraction.

$$\frac{\frac{7}{3}}{\frac{4\times 7}{3}}$$

Multiply 4 and 7 to get 28.

$$\frac{\frac{7}{3}}{\frac{28}{3}}$$

Divide \frac{7}{3} by \frac{28}{3} by multiplying \frac{7}{3} by the reciprocal of \frac{28}{3}.

$$\frac{7}{3}\times \frac{3}{28}$$

Multiply \frac{7}{3} times \frac{3}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{3\times 28}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7}{28}$$

Reduce the fraction \frac{7}{28} to lowest terms by extracting and canceling out 7.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$