Solve 9/4+2/frac{4{3}-4}

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

Evaluate

$$-\frac{51}{32}=-1.59375$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{\frac{9}{4}+\frac{8}{4}}{\frac{4}{3}-4}$$

Since \frac{9}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9+8}{4}}{\frac{4}{3}-4}$$

Add 9 and 8 to get 17.

$$\frac{\frac{17}{4}}{\frac{4}{3}-4}$$

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

$$\frac{\frac{17}{4}}{\frac{4}{3}-\frac{12}{3}}$$

Since \frac{4}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{17}{4}}{\frac{4-12}{3}}$$

Subtract 12 from 4 to get -8.

$$\frac{\frac{17}{4}}{-\frac{8}{3}}$$

Divide \frac{17}{4} by -\frac{8}{3} by multiplying \frac{17}{4} by the reciprocal of -\frac{8}{3}.

$$\frac{17}{4}\left(-\frac{3}{8}\right)$$

Multiply \frac{17}{4} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\left(-3\right)}{4\times 8}$$

Do the multiplications in the fraction \frac{17\left(-3\right)}{4\times 8}.

$$\frac{-51}{32}$$

Fraction \frac{-51}{32} can be rewritten as -\frac{51}{32} by extracting the negative sign.

$$-\frac{51}{32}$$

Factor

$$-\frac{51}{32} = -1\frac{19}{32} = -1.59375$$