Solve (-114/9-(-36):9/35)

$$( - 11 \frac { 4 } { 9 } - ( - 36 ) : \frac { 9 } { 35 } )$$

Evaluate

$$\frac{1157}{9}\approx 128.555555556$$

Solution Steps

Multiply 11 and 9 to get 99.

$$-\frac{99+4}{9}-\frac{-36}{\frac{9}{35}}$$

Add 99 and 4 to get 103.

$$-\frac{103}{9}-\frac{-36}{\frac{9}{35}}$$

Divide -36 by \frac{9}{35} by multiplying -36 by the reciprocal of \frac{9}{35}.

$$-\frac{103}{9}-\left(-36\times \frac{35}{9}\right)$$

Express -36\times \frac{35}{9} as a single fraction.

$$-\frac{103}{9}-\frac{-36\times 35}{9}$$

Multiply -36 and 35 to get -1260.

$$-\frac{103}{9}-\frac{-1260}{9}$$

Divide -1260 by 9 to get -140.

$$-\frac{103}{9}-\left(-140\right)$$

The opposite of -140 is 140.

$$-\frac{103}{9}+140$$

Convert 140 to fraction \frac{1260}{9}.

$$-\frac{103}{9}+\frac{1260}{9}$$

Since -\frac{103}{9} and \frac{1260}{9} have the same denominator, add them by adding their numerators.

$$\frac{-103+1260}{9}$$

Add -103 and 1260 to get 1157.

$$\frac{1157}{9}$$

Factor

$$\frac{13 \cdot 89}{3 ^ {2}} = 128\frac{5}{9} = 128.55555555555554$$