Solve (35%*45)+(50%*19)div(15%*80)

$$(35 \% \times 45)+(50 \% \times 19) \div (15 \% \times 80)$$

Evaluate

$$\frac{397}{24}\approx 16.541666667$$

Solution Steps

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{7}{20}\times 45+\frac{\frac{50}{100}\times 19}{\frac{15}{100}\times 80}$$

Express \frac{7}{20}\times 45 as a single fraction.

$$\frac{7\times 45}{20}+\frac{\frac{50}{100}\times 19}{\frac{15}{100}\times 80}$$

Multiply 7 and 45 to get 315.

$$\frac{315}{20}+\frac{\frac{50}{100}\times 19}{\frac{15}{100}\times 80}$$

Reduce the fraction \frac{315}{20} to lowest terms by extracting and canceling out 5.

$$\frac{63}{4}+\frac{\frac{50}{100}\times 19}{\frac{15}{100}\times 80}$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{63}{4}+\frac{\frac{1}{2}\times 19}{\frac{15}{100}\times 80}$$

Multiply \frac{1}{2} and 19 to get \frac{19}{2}.

$$\frac{63}{4}+\frac{\frac{19}{2}}{\frac{15}{100}\times 80}$$

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

$$\frac{63}{4}+\frac{\frac{19}{2}}{\frac{3}{20}\times 80}$$

Express \frac{3}{20}\times 80 as a single fraction.

$$\frac{63}{4}+\frac{\frac{19}{2}}{\frac{3\times 80}{20}}$$

Multiply 3 and 80 to get 240.

$$\frac{63}{4}+\frac{\frac{19}{2}}{\frac{240}{20}}$$

Divide 240 by 20 to get 12.

$$\frac{63}{4}+\frac{\frac{19}{2}}{12}$$

Express \frac{\frac{19}{2}}{12} as a single fraction.

$$\frac{63}{4}+\frac{19}{2\times 12}$$

Multiply 2 and 12 to get 24.

$$\frac{63}{4}+\frac{19}{24}$$

Least common multiple of 4 and 24 is 24. Convert \frac{63}{4} and \frac{19}{24} to fractions with denominator 24.

$$\frac{378}{24}+\frac{19}{24}$$

Since \frac{378}{24} and \frac{19}{24} have the same denominator, add them by adding their numerators.

$$\frac{378+19}{24}$$

Add 378 and 19 to get 397.

$$\frac{397}{24}$$

Factor

$$\frac{397}{2 ^ {3} \cdot 3} = 16\frac{13}{24} = 16.541666666666668$$