Solve 5.3div2*6+0.67-0.39

$$5.3 \div 2 \times 6 + 0.67 - 0.39$$

Evaluate

$$16.18$$

Solution Steps

Expand \frac{5.3}{2} by multiplying both numerator and the denominator by 10.

$$\frac{53}{20}\times 6+0.67-0.39$$

Express \frac{53}{20}\times 6 as a single fraction.

$$\frac{53\times 6}{20}+0.67-0.39$$

Multiply 53 and 6 to get 318.

$$\frac{318}{20}+0.67-0.39$$

Reduce the fraction \frac{318}{20} to lowest terms by extracting and canceling out 2.

$$\frac{159}{10}+0.67-0.39$$

Convert decimal number 0.67 to fraction \frac{67}{100}.

$$\frac{159}{10}+\frac{67}{100}-0.39$$

Least common multiple of 10 and 100 is 100. Convert \frac{159}{10} and \frac{67}{100} to fractions with denominator 100.

$$\frac{1590}{100}+\frac{67}{100}-0.39$$

Since \frac{1590}{100} and \frac{67}{100} have the same denominator, add them by adding their numerators.

$$\frac{1590+67}{100}-0.39$$

Add 1590 and 67 to get 1657.

$$\frac{1657}{100}-0.39$$

Convert decimal number 0.39 to fraction \frac{39}{100}.

$$\frac{1657}{100}-\frac{39}{100}$$

Since \frac{1657}{100} and \frac{39}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1657-39}{100}$$

Subtract 39 from 1657 to get 1618.

$$\frac{1618}{100}$$

Reduce the fraction \frac{1618}{100} to lowest terms by extracting and canceling out 2.

$$\frac{809}{50}$$

Factor

$$\frac{809}{2 \cdot 5 ^ {2}} = 16\frac{9}{50} = 16.18$$