Solve (91:7+37):52+(1+177:3):12-6=

$$( 91 : 7 + 37 ) : 52 + ( 1 + 177 : 3 ) : 12 - 6 =$$

Evaluate

$$-\frac{1}{26}\approx -0.038461538$$

Solution Steps

Divide 91 by 7 to get 13.

$$\frac{13+37}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Add 13 and 37 to get 50.

$$\frac{50}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Reduce the fraction \frac{50}{52} to lowest terms by extracting and canceling out 2.

$$\frac{25}{26}+\frac{1+\frac{177}{3}}{12}-6$$

Divide 177 by 3 to get 59.

$$\frac{25}{26}+\frac{1+59}{12}-6$$

Add 1 and 59 to get 60.

$$\frac{25}{26}+\frac{60}{12}-6$$

Divide 60 by 12 to get 5.

$$\frac{25}{26}+5-6$$

Convert 5 to fraction \frac{130}{26}.

$$\frac{25}{26}+\frac{130}{26}-6$$

Since \frac{25}{26} and \frac{130}{26} have the same denominator, add them by adding their numerators.

$$\frac{25+130}{26}-6$$

Add 25 and 130 to get 155.

$$\frac{155}{26}-6$$

Convert 6 to fraction \frac{156}{26}.

$$\frac{155}{26}-\frac{156}{26}$$

Since \frac{155}{26} and \frac{156}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-156}{26}$$

Subtract 156 from 155 to get -1.

$$-\frac{1}{26}$$

Factor

$$-\frac{1}{26} = -0.038461538461538464$$