Solve -45/6+(-114/9-(-3,6):9/35)

$$- 4 \frac { 5 } { 6 } + ( - 11 \frac { 4 } { 9 } - ( - 3,6 ) : \frac { 9 } { 35 } )$$

Evaluate

$$-\frac{41}{18}\approx -2,277777778$$

Solution Steps

Multiply 4 and 6 to get 24.

$$-\frac{24+5}{6}-\frac{11\times 9+4}{9}-\frac{-3,6}{\frac{9}{35}}$$

Add 24 and 5 to get 29.

$$-\frac{29}{6}-\frac{11\times 9+4}{9}-\frac{-3,6}{\frac{9}{35}}$$

Multiply 11 and 9 to get 99.

$$-\frac{29}{6}-\frac{99+4}{9}-\frac{-3,6}{\frac{9}{35}}$$

Add 99 and 4 to get 103.

$$-\frac{29}{6}-\frac{103}{9}-\frac{-3,6}{\frac{9}{35}}$$

Least common multiple of 6 and 9 is 18. Convert -\frac{29}{6} and \frac{103}{9} to fractions with denominator 18.

$$-\frac{87}{18}-\frac{206}{18}-\frac{-3,6}{\frac{9}{35}}$$

Since -\frac{87}{18} and \frac{206}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-87-206}{18}-\frac{-3,6}{\frac{9}{35}}$$

Subtract 206 from -87 to get -293.

$$-\frac{293}{18}-\frac{-3,6}{\frac{9}{35}}$$

Divide -3,6 by \frac{9}{35} by multiplying -3,6 by the reciprocal of \frac{9}{35}.

$$-\frac{293}{18}-\left(-3,6\times \frac{35}{9}\right)$$

Convert decimal number -3,6 to fraction -\frac{36}{10}. Reduce the fraction -\frac{36}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{293}{18}-\left(-\frac{18}{5}\times \frac{35}{9}\right)$$

Multiply -\frac{18}{5} times \frac{35}{9} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{293}{18}-\frac{-18\times 35}{5\times 9}$$

Do the multiplications in the fraction \frac{-18\times 35}{5\times 9}.

$$-\frac{293}{18}-\frac{-630}{45}$$

Divide -630 by 45 to get -14.

$$-\frac{293}{18}-\left(-14\right)$$

The opposite of -14 is 14.

$$-\frac{293}{18}+14$$

Convert 14 to fraction \frac{252}{18}.

$$-\frac{293}{18}+\frac{252}{18}$$

Since -\frac{293}{18} and \frac{252}{18} have the same denominator, add them by adding their numerators.

$$\frac{-293+252}{18}$$

Add -293 and 252 to get -41.

$$-\frac{41}{18}$$

Factor

$$-\frac{41}{18} = -2\frac{5}{18} = -2.2777777777777777$$