Solve -52/3div25/9

$$-5 \frac{ 2 }{ 3 } \div 2 \frac{ 5 }{ 9 }$$

Evaluate

$$-\frac{51}{23}\approx -2.217391304$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{-\frac{15+2}{3}}{\frac{2\times 9+5}{9}}$$

Add 15 and 2 to get 17.

$$\frac{-\frac{17}{3}}{\frac{2\times 9+5}{9}}$$

Multiply 2 and 9 to get 18.

$$\frac{-\frac{17}{3}}{\frac{18+5}{9}}$$

Add 18 and 5 to get 23.

$$\frac{-\frac{17}{3}}{\frac{23}{9}}$$

Divide -\frac{17}{3} by \frac{23}{9} by multiplying -\frac{17}{3} by the reciprocal of \frac{23}{9}.

$$-\frac{17}{3}\times \frac{9}{23}$$

Multiply -\frac{17}{3} times \frac{9}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-17\times 9}{3\times 23}$$

Do the multiplications in the fraction \frac{-17\times 9}{3\times 23}.

$$\frac{-153}{69}$$

Reduce the fraction \frac{-153}{69} to lowest terms by extracting and canceling out 3.

$$-\frac{51}{23}$$

Factor

$$-\frac{51}{23} = -2\frac{5}{23} = -2.217391304347826$$