Solve 5-(3.25-11/6)*12/17

$$5 - ( 3.25 - 1 \frac { 1 } { 6 } ) \times \frac { 12 } { 17 }$$

Evaluate

$$\frac{60}{17}\approx 3.529411765$$

Solution Steps

Multiply 1 and 6 to get 6.

$$5-\left(3.25-\frac{6+1}{6}\right)\times \frac{12}{17}$$

Add 6 and 1 to get 7.

$$5-\left(3.25-\frac{7}{6}\right)\times \frac{12}{17}$$

Convert decimal number 3.25 to fraction \frac{325}{100}. Reduce the fraction \frac{325}{100} to lowest terms by extracting and canceling out 25.

$$5-\left(\frac{13}{4}-\frac{7}{6}\right)\times \frac{12}{17}$$

Least common multiple of 4 and 6 is 12. Convert \frac{13}{4} and \frac{7}{6} to fractions with denominator 12.

$$5-\left(\frac{39}{12}-\frac{14}{12}\right)\times \frac{12}{17}$$

Since \frac{39}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$5-\frac{39-14}{12}\times \frac{12}{17}$$

Subtract 14 from 39 to get 25.

$$5-\frac{25}{12}\times \frac{12}{17}$$

Multiply \frac{25}{12} times \frac{12}{17} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{25\times 12}{12\times 17}$$

Cancel out 12 in both numerator and denominator.

$$5-\frac{25}{17}$$

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

$$\frac{85}{17}-\frac{25}{17}$$

Since \frac{85}{17} and \frac{25}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-25}{17}$$

Subtract 25 from 85 to get 60.

$$\frac{60}{17}$$

Factor

$$\frac{3 \cdot 5 \cdot 2 ^ {2}}{17} = 3\frac{9}{17} = 3.5294117647058822$$