Solve -283/7-3,6:(-0,09)

$$- 28 \frac { 3 } { 7 } - 3,6 : ( - 0,09 )$$

Evaluate

$$\frac{81}{7}\approx 11,571428571$$

Solution Steps

Multiply 28 and 7 to get 196.

$$-\frac{196+3}{7}-\frac{3,6}{-0,09}$$

Add 196 and 3 to get 199.

$$-\frac{199}{7}-\frac{3,6}{-0,09}$$

Expand \frac{3,6}{-0,09} by multiplying both numerator and the denominator by 100.

$$-\frac{199}{7}-\frac{360}{-9}$$

Divide 360 by -9 to get -40.

$$-\frac{199}{7}-\left(-40\right)$$

The opposite of -40 is 40.

$$-\frac{199}{7}+40$$

Convert 40 to fraction \frac{280}{7}.

$$-\frac{199}{7}+\frac{280}{7}$$

Since -\frac{199}{7} and \frac{280}{7} have the same denominator, add them by adding their numerators.

$$\frac{-199+280}{7}$$

Add -199 and 280 to get 81.

$$\frac{81}{7}$$

Factor

$$\frac{3 ^ {4}}{7} = 11\frac{4}{7} = 11.571428571428571$$