Solve [1+(22div5*6)]div(-5+2)+1=

$$[ 1 + ( 22 \div 5 \cdot 6 ) ] \div ( - 5 + 2 ) + 1 =$$

Evaluate

$$-\frac{122}{15}\approx -8.133333333$$

Solution Steps

Express \frac{22}{5}\times 6 as a single fraction.

$$\frac{1+\frac{22\times 6}{5}}{-5+2}+1$$

Multiply 22 and 6 to get 132.

$$\frac{1+\frac{132}{5}}{-5+2}+1$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{\frac{5}{5}+\frac{132}{5}}{-5+2}+1$$

Since \frac{5}{5} and \frac{132}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+132}{5}}{-5+2}+1$$

Add 5 and 132 to get 137.

$$\frac{\frac{137}{5}}{-5+2}+1$$

Add -5 and 2 to get -3.

$$\frac{\frac{137}{5}}{-3}+1$$

Express \frac{\frac{137}{5}}{-3} as a single fraction.

$$\frac{137}{5\left(-3\right)}+1$$

Multiply 5 and -3 to get -15.

$$\frac{137}{-15}+1$$

Fraction \frac{137}{-15} can be rewritten as -\frac{137}{15} by extracting the negative sign.

$$-\frac{137}{15}+1$$

Convert 1 to fraction \frac{15}{15}.

$$-\frac{137}{15}+\frac{15}{15}$$

Since -\frac{137}{15} and \frac{15}{15} have the same denominator, add them by adding their numerators.

$$\frac{-137+15}{15}$$

Add -137 and 15 to get -122.

$$-\frac{122}{15}$$

Factor

$$-\frac{122}{15} = -8\frac{2}{15} = -8.133333333333333$$