Solve 331/3div((-2.5)*7div(-12/5)*(-5))

$$33 \frac { 1 } { 3 } \div ( ( - 2.5 ) \times 7 \div ( - 1 \frac { 2 } { 5 } ) \times ( - 5 ) )$$

Evaluate

$$-\frac{8}{15}\approx -0.533333333$$

Solution Steps

Multiply 33 and 3 to get 99.

$$\frac{\frac{99+1}{3}}{\frac{-2.5\times 7}{-\frac{1\times 5+2}{5}}\left(-5\right)}$$

Add 99 and 1 to get 100.

$$\frac{\frac{100}{3}}{\frac{-2.5\times 7}{-\frac{1\times 5+2}{5}}\left(-5\right)}$$

Multiply -2.5 and 7 to get -17.5.

$$\frac{\frac{100}{3}}{\frac{-17.5}{-\frac{1\times 5+2}{5}}\left(-5\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{100}{3}}{\frac{-17.5}{-\frac{5+2}{5}}\left(-5\right)}$$

Add 5 and 2 to get 7.

$$\frac{\frac{100}{3}}{\frac{-17.5}{-\frac{7}{5}}\left(-5\right)}$$

Divide -17.5 by -\frac{7}{5} by multiplying -17.5 by the reciprocal of -\frac{7}{5}.

$$\frac{\frac{100}{3}}{-17.5\left(-\frac{5}{7}\right)\left(-5\right)}$$

Convert decimal number -17.5 to fraction -\frac{175}{10}. Reduce the fraction -\frac{175}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{100}{3}}{-\frac{35}{2}\left(-\frac{5}{7}\right)\left(-5\right)}$$

Multiply -\frac{35}{2} times -\frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{100}{3}}{\frac{-35\left(-5\right)}{2\times 7}\left(-5\right)}$$

Do the multiplications in the fraction \frac{-35\left(-5\right)}{2\times 7}.

$$\frac{\frac{100}{3}}{\frac{175}{14}\left(-5\right)}$$

Reduce the fraction \frac{175}{14} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{100}{3}}{\frac{25}{2}\left(-5\right)}$$

Express \frac{25}{2}\left(-5\right) as a single fraction.

$$\frac{\frac{100}{3}}{\frac{25\left(-5\right)}{2}}$$

Multiply 25 and -5 to get -125.

$$\frac{\frac{100}{3}}{\frac{-125}{2}}$$

Fraction \frac{-125}{2} can be rewritten as -\frac{125}{2} by extracting the negative sign.

$$\frac{\frac{100}{3}}{-\frac{125}{2}}$$

Divide \frac{100}{3} by -\frac{125}{2} by multiplying \frac{100}{3} by the reciprocal of -\frac{125}{2}.

$$\frac{100}{3}\left(-\frac{2}{125}\right)$$

Multiply \frac{100}{3} times -\frac{2}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{100\left(-2\right)}{3\times 125}$$

Do the multiplications in the fraction \frac{100\left(-2\right)}{3\times 125}.

$$\frac{-200}{375}$$

Reduce the fraction \frac{-200}{375} to lowest terms by extracting and canceling out 25.

$$-\frac{8}{15}$$

Factor

$$-\frac{8}{15} = -0.5333333333333333$$