Solve 19.5+9/3+99

$$19.5+ \frac{ 9 }{ 3+9 } 9$$

Evaluate

$$26.25$$

Solution Steps

Add 3 and 9 to get 12.

$$19.5+\frac{9}{12}\times 9$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$19.5+\frac{3}{4}\times 9$$

Express \frac{3}{4}\times 9 as a single fraction.

$$19.5+\frac{3\times 9}{4}$$

Multiply 3 and 9 to get 27.

$$19.5+\frac{27}{4}$$

Convert decimal number 19.5 to fraction \frac{195}{10}. Reduce the fraction \frac{195}{10} to lowest terms by extracting and canceling out 5.

$$\frac{39}{2}+\frac{27}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{39}{2} and \frac{27}{4} to fractions with denominator 4.

$$\frac{78}{4}+\frac{27}{4}$$

Since \frac{78}{4} and \frac{27}{4} have the same denominator, add them by adding their numerators.

$$\frac{78+27}{4}$$

Add 78 and 27 to get 105.

$$\frac{105}{4}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {2}} = 26\frac{1}{4} = 26.25$$