Solve 30+(.0825*30)+(15%*30)

$$30 + ( .0825 \times 30 ) + ( 15 \% \times 30 )$$

Evaluate

$$36.975$$

Solution Steps

Multiply 0.0825 and 30 to get 2.475.

$$30+2.475+\frac{15}{100}\times 30$$

Add 30 and 2.475 to get 32.475.

$$32.475+\frac{15}{100}\times 30$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$32.475+\frac{3}{20}\times 30$$

Express \frac{3}{20}\times 30 as a single fraction.

$$32.475+\frac{3\times 30}{20}$$

Multiply 3 and 30 to get 90.

$$32.475+\frac{90}{20}$$

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

$$32.475+\frac{9}{2}$$

Convert decimal number 32.475 to fraction \frac{32475}{1000}. Reduce the fraction \frac{32475}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{1299}{40}+\frac{9}{2}$$

Least common multiple of 40 and 2 is 40. Convert \frac{1299}{40} and \frac{9}{2} to fractions with denominator 40.

$$\frac{1299}{40}+\frac{180}{40}$$

Since \frac{1299}{40} and \frac{180}{40} have the same denominator, add them by adding their numerators.

$$\frac{1299+180}{40}$$

Add 1299 and 180 to get 1479.

$$\frac{1479}{40}$$

Factor

$$\frac{3 \cdot 17 \cdot 29}{5 \cdot 2 ^ {3}} = 36\frac{39}{40} = 36.975$$