Solve 13.5-23/3*0.5

$$13.5- \frac{ 23 }{ 3 } \times 0.5$$

Evaluate

$$\frac{29}{3}\approx 9.666666667$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$13.5-\frac{23}{3}\times \frac{1}{2}$$

Multiply \frac{23}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$13.5-\frac{23\times 1}{3\times 2}$$

Do the multiplications in the fraction \frac{23\times 1}{3\times 2}.

$$13.5-\frac{23}{6}$$

Convert decimal number 13.5 to fraction \frac{135}{10}. Reduce the fraction \frac{135}{10} to lowest terms by extracting and canceling out 5.

$$\frac{27}{2}-\frac{23}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{27}{2} and \frac{23}{6} to fractions with denominator 6.

$$\frac{81}{6}-\frac{23}{6}$$

Since \frac{81}{6} and \frac{23}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-23}{6}$$

Subtract 23 from 81 to get 58.

$$\frac{58}{6}$$

Reduce the fraction \frac{58}{6} to lowest terms by extracting and canceling out 2.

$$\frac{29}{3}$$

Factor

$$\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666$$