Solve 5-11/3*11/6)*27/31

$$5 - 1 \frac { 1 } { 3 } \cdot 1 \frac { 1 } { 6 } ) \cdot \frac { 27 } { 31 }$$

Evaluate

$$\frac{31}{9}\approx 3.444444444$$

Solution Steps

Multiply 1 and 3 to get 3.

$$5-\frac{3+1}{3}\times \frac{1\times 6+1}{6}$$

Add 3 and 1 to get 4.

$$5-\frac{4}{3}\times \frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$5-\frac{4}{3}\times \frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$5-\frac{4}{3}\times \frac{7}{6}$$

Multiply \frac{4}{3} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$5-\frac{4\times 7}{3\times 6}$$

Do the multiplications in the fraction \frac{4\times 7}{3\times 6}.

$$5-\frac{28}{18}$$

Reduce the fraction \frac{28}{18} to lowest terms by extracting and canceling out 2.

$$5-\frac{14}{9}$$

Convert 5 to fraction \frac{45}{9}.

$$\frac{45}{9}-\frac{14}{9}$$

Since \frac{45}{9} and \frac{14}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-14}{9}$$

Subtract 14 from 45 to get 31.

$$\frac{31}{9}$$

Factor

$$\frac{31}{3 ^ {2}} = 3\frac{4}{9} = 3.4444444444444446$$