Solve 4+3/5/frac{1{3}-2}

$$\frac { 4 + \frac { 3 } { 5 } } { \frac { 1 } { 3 } - 2 }$$

Evaluate

$$-\frac{69}{25}=-2.76$$

Solution Steps

Convert 4 to fraction \frac{20}{5}.

$$\frac{\frac{20}{5}+\frac{3}{5}}{\frac{1}{3}-2}$$

Since \frac{20}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{20+3}{5}}{\frac{1}{3}-2}$$

Add 20 and 3 to get 23.

$$\frac{\frac{23}{5}}{\frac{1}{3}-2}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{\frac{23}{5}}{\frac{1}{3}-\frac{6}{3}}$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{23}{5}}{\frac{1-6}{3}}$$

Subtract 6 from 1 to get -5.

$$\frac{\frac{23}{5}}{-\frac{5}{3}}$$

Divide \frac{23}{5} by -\frac{5}{3} by multiplying \frac{23}{5} by the reciprocal of -\frac{5}{3}.

$$\frac{23}{5}\left(-\frac{3}{5}\right)$$

Multiply \frac{23}{5} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\left(-3\right)}{5\times 5}$$

Do the multiplications in the fraction \frac{23\left(-3\right)}{5\times 5}.

$$\frac{-69}{25}$$

Fraction \frac{-69}{25} can be rewritten as -\frac{69}{25} by extracting the negative sign.

$$-\frac{69}{25}$$

Factor

$$-\frac{69}{25} = -2\frac{19}{25} = -2.76$$