Solve 141/2-911/18=

$$14 \frac { 1 } { 2 } - 9 \frac { 11 } { 18 } =$$

Evaluate

$$\frac{44}{9}\approx 4.888888889$$

Solution Steps

Multiply 14 and 2 to get 28.

$$\frac{28+1}{2}-\frac{9\times 18+11}{18}$$

Add 28 and 1 to get 29.

$$\frac{29}{2}-\frac{9\times 18+11}{18}$$

Multiply 9 and 18 to get 162.

$$\frac{29}{2}-\frac{162+11}{18}$$

Add 162 and 11 to get 173.

$$\frac{29}{2}-\frac{173}{18}$$

Least common multiple of 2 and 18 is 18. Convert \frac{29}{2} and \frac{173}{18} to fractions with denominator 18.

$$\frac{261}{18}-\frac{173}{18}$$

Since \frac{261}{18} and \frac{173}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{261-173}{18}$$

Subtract 173 from 261 to get 88.

$$\frac{88}{18}$$

Reduce the fraction \frac{88}{18} to lowest terms by extracting and canceling out 2.

$$\frac{44}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 ^ {2}} = 4\frac{8}{9} = 4.888888888888889$$