Solve 9-32/9-11/6

$$9 - 3 \frac { 2 } { 9 } - 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{83}{18}\approx 4.611111111$$

Solution Steps

Multiply 3 and 9 to get 27.

$$9-\frac{27+2}{9}-\frac{1\times 6+1}{6}$$

Add 27 and 2 to get 29.

$$9-\frac{29}{9}-\frac{1\times 6+1}{6}$$

Convert 9 to fraction \frac{81}{9}.

$$\frac{81}{9}-\frac{29}{9}-\frac{1\times 6+1}{6}$$

Since \frac{81}{9} and \frac{29}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-29}{9}-\frac{1\times 6+1}{6}$$

Subtract 29 from 81 to get 52.

$$\frac{52}{9}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{52}{9}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{52}{9}-\frac{7}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{52}{9} and \frac{7}{6} to fractions with denominator 18.

$$\frac{104}{18}-\frac{21}{18}$$

Since \frac{104}{18} and \frac{21}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{104-21}{18}$$

Subtract 21 from 104 to get 83.

$$\frac{83}{18}$$

Factor

$$\frac{83}{2 \cdot 3 ^ {2}} = 4\frac{11}{18} = 4.611111111111111$$