Solve (91:7+37):5.2+(1+177:3):12-6=

$$( 91 : 7 + 37 ) : 5.2 + ( 1 + 177 : 3 ) : 12 - 6 =$$

Evaluate

$$\frac{112}{13}\approx 8.615384615$$

Solution Steps

Divide 91 by 7 to get 13.

$$\frac{13+37}{5.2}+\frac{1+\frac{177}{3}}{12}-6$$

Add 13 and 37 to get 50.

$$\frac{50}{5.2}+\frac{1+\frac{177}{3}}{12}-6$$

Expand \frac{50}{5.2} by multiplying both numerator and the denominator by 10.

$$\frac{500}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Reduce the fraction \frac{500}{52} to lowest terms by extracting and canceling out 4.

$$\frac{125}{13}+\frac{1+\frac{177}{3}}{12}-6$$

Divide 177 by 3 to get 59.

$$\frac{125}{13}+\frac{1+59}{12}-6$$

Add 1 and 59 to get 60.

$$\frac{125}{13}+\frac{60}{12}-6$$

Divide 60 by 12 to get 5.

$$\frac{125}{13}+5-6$$

Convert 5 to fraction \frac{65}{13}.

$$\frac{125}{13}+\frac{65}{13}-6$$

Since \frac{125}{13} and \frac{65}{13} have the same denominator, add them by adding their numerators.

$$\frac{125+65}{13}-6$$

Add 125 and 65 to get 190.

$$\frac{190}{13}-6$$

Convert 6 to fraction \frac{78}{13}.

$$\frac{190}{13}-\frac{78}{13}$$

Since \frac{190}{13} and \frac{78}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{190-78}{13}$$

Subtract 78 from 190 to get 112.

$$\frac{112}{13}$$

Factor

$$\frac{7 \cdot 2 ^ {4}}{13} = 8\frac{8}{13} = 8.615384615384615$$