Solve 5.5+1(40-23/18)

$$5.5+1( \frac{ 40-23 }{ 18 } )$$

Evaluate

$$\frac{58}{9}\approx 6.444444444$$

Solution Steps

Subtract 23 from 40 to get 17.

$$5.5+1\times \frac{17}{18}$$

Multiply 1 and \frac{17}{18} to get \frac{17}{18}.

$$5.5+\frac{17}{18}$$

Convert decimal number 5.5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}+\frac{17}{18}$$

Least common multiple of 2 and 18 is 18. Convert \frac{11}{2} and \frac{17}{18} to fractions with denominator 18.

$$\frac{99}{18}+\frac{17}{18}$$

Since \frac{99}{18} and \frac{17}{18} have the same denominator, add them by adding their numerators.

$$\frac{99+17}{18}$$

Add 99 and 17 to get 116.

$$\frac{116}{18}$$

Reduce the fraction \frac{116}{18} to lowest terms by extracting and canceling out 2.

$$\frac{58}{9}$$

Factor

$$\frac{2 \cdot 29}{3 ^ {2}} = 6\frac{4}{9} = 6.444444444444445$$