Solve 5/18*9-4div11

$$\frac{ 5 }{ 18 } \times 9-4 \div 11$$

Evaluate

$$\frac{47}{22}\approx 2.136363636$$

Solution Steps

Express \frac{5}{18}\times 9 as a single fraction.

$$\frac{5\times 9}{18}-\frac{4}{11}$$

Multiply 5 and 9 to get 45.

$$\frac{45}{18}-\frac{4}{11}$$

Reduce the fraction \frac{45}{18} to lowest terms by extracting and canceling out 9.

$$\frac{5}{2}-\frac{4}{11}$$

Least common multiple of 2 and 11 is 22. Convert \frac{5}{2} and \frac{4}{11} to fractions with denominator 22.

$$\frac{55}{22}-\frac{8}{22}$$

Since \frac{55}{22} and \frac{8}{22} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-8}{22}$$

Subtract 8 from 55 to get 47.

$$\frac{47}{22}$$

Factor

$$\frac{47}{2 \cdot 11} = 2\frac{3}{22} = 2.1363636363636362$$