Solve 16.3-13.58/2

$$16.3- \frac{ 13.58 }{ 2 }$$

Evaluate

$$9.51$$

Solution Steps

Expand \frac{13.58}{2} by multiplying both numerator and the denominator by 100.

$$16.3-\frac{1358}{200}$$

Reduce the fraction \frac{1358}{200} to lowest terms by extracting and canceling out 2.

$$16.3-\frac{679}{100}$$

Convert decimal number 16.3 to fraction \frac{163}{10}.

$$\frac{163}{10}-\frac{679}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{163}{10} and \frac{679}{100} to fractions with denominator 100.

$$\frac{1630}{100}-\frac{679}{100}$$

Since \frac{1630}{100} and \frac{679}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1630-679}{100}$$

Subtract 679 from 1630 to get 951.

$$\frac{951}{100}$$

Factor

$$\frac{3 \cdot 317}{2 ^ {2} \cdot 5 ^ {2}} = 9\frac{51}{100} = 9.51$$