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

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

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{1+22-30}{-5+2}+1$$

Subtract 30 from 22 to get -8.

$$\frac{1-8}{-5+2}+1$$

Subtract 8 from 1 to get -7.

$$\frac{-7}{-5+2}+1$$

Add -5 and 2 to get -3.

$$\frac{-7}{-3}+1$$

Fraction \frac{-7}{-3} can be simplified to \frac{7}{3} by removing the negative sign from both the numerator and the denominator.

$$\frac{7}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{7}{3}+\frac{3}{3}$$

Since \frac{7}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{3}$$

Add 7 and 3 to get 10.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$