Solve -5/4div23/5

$$- \frac { 5 } { 4 } \div 2 \frac { 3 } { 5 }$$

Evaluate

$$-\frac{25}{52}\approx -0.480769231$$

Solution Steps

Divide -\frac{5}{4} by \frac{2\times 5+3}{5} by multiplying -\frac{5}{4} by the reciprocal of \frac{2\times 5+3}{5}.

$$\frac{-5\times 5}{4\left(2\times 5+3\right)}$$

Multiply -5 and 5 to get -25.

$$\frac{-25}{4\left(2\times 5+3\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{-25}{4\left(10+3\right)}$$

Add 10 and 3 to get 13.

$$\frac{-25}{4\times 13}$$

Multiply 4 and 13 to get 52.

$$\frac{-25}{52}$$

Fraction \frac{-25}{52} can be rewritten as -\frac{25}{52} by extracting the negative sign.

$$-\frac{25}{52}$$

Factor

$$-\frac{25}{52} = -0.4807692307692308$$