Solve 5-(325-11/6)*12/17

$$5 - ( 325 - 1 \frac { 1 } { 6 } ) \times \frac { 12 } { 17 }$$

Evaluate

$$-\frac{3801}{17}\approx -223.588235294$$

Solution Steps

Multiply 1 and 6 to get 6.

$$5-\left(325-\frac{6+1}{6}\right)\times \frac{12}{17}$$

Add 6 and 1 to get 7.

$$5-\left(325-\frac{7}{6}\right)\times \frac{12}{17}$$

Convert 325 to fraction \frac{1950}{6}.

$$5-\left(\frac{1950}{6}-\frac{7}{6}\right)\times \frac{12}{17}$$

Since \frac{1950}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$5-\frac{1950-7}{6}\times \frac{12}{17}$$

Subtract 7 from 1950 to get 1943.

$$5-\frac{1943}{6}\times \frac{12}{17}$$

Multiply \frac{1943}{6} times \frac{12}{17} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{1943\times 12}{6\times 17}$$

Do the multiplications in the fraction \frac{1943\times 12}{6\times 17}.

$$5-\frac{23316}{102}$$

Reduce the fraction \frac{23316}{102} to lowest terms by extracting and canceling out 6.

$$5-\frac{3886}{17}$$

Convert 5 to fraction \frac{85}{17}.

$$\frac{85}{17}-\frac{3886}{17}$$

Since \frac{85}{17} and \frac{3886}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-3886}{17}$$

Subtract 3886 from 85 to get -3801.

$$-\frac{3801}{17}$$

Factor

$$-\frac{3801}{17} = -223\frac{10}{17} = -223.58823529411765$$