Solve 4-2/3/frac{4{5}}=

$$\frac { 4 - \frac { 2 } { 3 } } { \frac { 4 } { 5 } } =$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{\frac{12}{3}-\frac{2}{3}}{\frac{4}{5}}$$

Since \frac{12}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12-2}{3}}{\frac{4}{5}}$$

Subtract 2 from 12 to get 10.

$$\frac{\frac{10}{3}}{\frac{4}{5}}$$

Divide \frac{10}{3} by \frac{4}{5} by multiplying \frac{10}{3} by the reciprocal of \frac{4}{5}.

$$\frac{10}{3}\times \frac{5}{4}$$

Multiply \frac{10}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{10\times 5}{3\times 4}.

$$\frac{50}{12}$$

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$