Solve 22/5:(-5/12)

$$2 \frac { 2 } { 5 } : ( - \frac { 5 } { 12 } )$$

Evaluate

$$-\frac{144}{25}=-5.76$$

Solution Steps

Divide \frac{2\times 5+2}{5} by -\frac{5}{12} by multiplying \frac{2\times 5+2}{5} by the reciprocal of -\frac{5}{12}.

$$\frac{\left(2\times 5+2\right)\times 12}{5\left(-5\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{\left(10+2\right)\times 12}{5\left(-5\right)}$$

Add 10 and 2 to get 12.

$$\frac{12\times 12}{5\left(-5\right)}$$

Multiply 12 and 12 to get 144.

$$\frac{144}{5\left(-5\right)}$$

Multiply 5 and -5 to get -25.

$$\frac{144}{-25}$$

Fraction \frac{144}{-25} can be rewritten as -\frac{144}{25} by extracting the negative sign.

$$-\frac{144}{25}$$

Factor

$$-\frac{144}{25} = -5\frac{19}{25} = -5.76$$