Solve 14.5+82.3div2

$$14.5+82.3 \div 2$$

Evaluate

$$55.65$$

Solution Steps

Expand \frac{82.3}{2} by multiplying both numerator and the denominator by 10.

$$14.5+\frac{823}{20}$$

Convert decimal number 14.5 to fraction \frac{145}{10}. Reduce the fraction \frac{145}{10} to lowest terms by extracting and canceling out 5.

$$\frac{29}{2}+\frac{823}{20}$$

Least common multiple of 2 and 20 is 20. Convert \frac{29}{2} and \frac{823}{20} to fractions with denominator 20.

$$\frac{290}{20}+\frac{823}{20}$$

Since \frac{290}{20} and \frac{823}{20} have the same denominator, add them by adding their numerators.

$$\frac{290+823}{20}$$

Add 290 and 823 to get 1113.

$$\frac{1113}{20}$$

Factor

$$\frac{3 \cdot 7 \cdot 53}{5 \cdot 2 ^ {2}} = 55\frac{13}{20} = 55.65$$