Solve [37-155:3+5)]-3

$$[ 37 - 155 : 3 + 5 ) ] - 3$$

Evaluate

$$-\frac{29}{3}\approx -9.666666667$$

Solution Steps

Convert 37 to fraction \frac{111}{3}.

$$\frac{111}{3}-\frac{155}{3}+5$$

Since \frac{111}{3} and \frac{155}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-155}{3}+5$$

Subtract 155 from 111 to get -44.

$$-\frac{44}{3}+5$$

Convert 5 to fraction \frac{15}{3}.

$$-\frac{44}{3}+\frac{15}{3}$$

Since -\frac{44}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$\frac{-44+15}{3}$$

Add -44 and 15 to get -29.

$$-\frac{29}{3}$$

Factor

$$-\frac{29}{3} = -9\frac{2}{3} = -9.666666666666666$$