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

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

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

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

$$\frac{\frac{9}{3}+\frac{2}{3}}{\frac{4}{5}}$$

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

$$\frac{\frac{9+2}{3}}{\frac{4}{5}}$$

Add 9 and 2 to get 11.

$$\frac{\frac{11}{3}}{\frac{4}{5}}$$

Divide \frac{11}{3} by \frac{4}{5} by multiplying \frac{11}{3} by the reciprocal of \frac{4}{5}.

$$\frac{11}{3}\times \frac{5}{4}$$

Multiply \frac{11}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{11\times 5}{3\times 4}.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$