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

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

Evaluate

$$\frac{23}{9}\approx 2,555555556$$

Solution Steps

Multiply 11 and 9 to get 99.

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

Add 99 and 4 to get 103.

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

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

$$-\frac{103}{9}-\left(-3,6\times \frac{35}{9}\right)$$

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.

$$-\frac{103}{9}-\left(-\frac{18}{5}\times \frac{35}{9}\right)$$

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

$$-\frac{103}{9}-\frac{-18\times 35}{5\times 9}$$

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

$$-\frac{103}{9}-\frac{-630}{45}$$

Divide -630 by 45 to get -14.

$$-\frac{103}{9}-\left(-14\right)$$

The opposite of -14 is 14.

$$-\frac{103}{9}+14$$

Convert 14 to fraction \frac{126}{9}.

$$-\frac{103}{9}+\frac{126}{9}$$

Since -\frac{103}{9} and \frac{126}{9} have the same denominator, add them by adding their numerators.

$$\frac{-103+126}{9}$$

Add -103 and 126 to get 23.

$$\frac{23}{9}$$

Factor

$$\frac{23}{3 ^ {2}} = 2\frac{5}{9} = 2.5555555555555554$$