Solve (72/3)div(-3/5)

$$( 7 \frac { 2 } { 3 } ) \div ( - \frac { 3 } { 5 } )$$

Evaluate

$$-\frac{115}{9}\approx -12.777777778$$

Solution Steps

Divide \frac{7\times 3+2}{3} by -\frac{3}{5} by multiplying \frac{7\times 3+2}{3} by the reciprocal of -\frac{3}{5}.

$$\frac{\left(7\times 3+2\right)\times 5}{3\left(-3\right)}$$

Multiply 7 and 3 to get 21.

$$\frac{\left(21+2\right)\times 5}{3\left(-3\right)}$$

Add 21 and 2 to get 23.

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

Multiply 23 and 5 to get 115.

$$\frac{115}{3\left(-3\right)}$$

Multiply 3 and -3 to get -9.

$$\frac{115}{-9}$$

Fraction \frac{115}{-9} can be rewritten as -\frac{115}{9} by extracting the negative sign.

$$-\frac{115}{9}$$

Factor

$$-\frac{115}{9} = -12\frac{7}{9} = -12.777777777777779$$