Solve 83*15%+66*25%+41*20%+104*1.5*100%/100%

$$\frac{ 83 \times 15 \% +66 \times 25 \% +41 \times 20 \% +104 \times 1.5 \times 100 \% }{ 100 \% }$$

Evaluate

$$193.15$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{83\times \frac{15}{100}+66\times \frac{25}{100}+41\times \frac{20}{100}+104\times 1.5\times 1}{\frac{100}{100}}$$

Divide 100 by 100 to get 1.

$$\frac{83\times \frac{15}{100}+66\times \frac{25}{100}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

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

$$\frac{83\times \frac{3}{20}+66\times \frac{25}{100}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Express 83\times \frac{3}{20} as a single fraction.

$$\frac{\frac{83\times 3}{20}+66\times \frac{25}{100}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Multiply 83 and 3 to get 249.

$$\frac{\frac{249}{20}+66\times \frac{25}{100}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{249}{20}+66\times \frac{1}{4}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Multiply 66 and \frac{1}{4} to get \frac{66}{4}.

$$\frac{\frac{249}{20}+\frac{66}{4}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Reduce the fraction \frac{66}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{249}{20}+\frac{33}{2}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Least common multiple of 20 and 2 is 20. Convert \frac{249}{20} and \frac{33}{2} to fractions with denominator 20.

$$\frac{\frac{249}{20}+\frac{330}{20}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Since \frac{249}{20} and \frac{330}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{249+330}{20}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Add 249 and 330 to get 579.

$$\frac{\frac{579}{20}+41\times \frac{20}{100}+104\times 1.5\times 1}{1}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{579}{20}+41\times \frac{1}{5}+104\times 1.5\times 1}{1}$$

Multiply 41 and \frac{1}{5} to get \frac{41}{5}.

$$\frac{\frac{579}{20}+\frac{41}{5}+104\times 1.5\times 1}{1}$$

Least common multiple of 20 and 5 is 20. Convert \frac{579}{20} and \frac{41}{5} to fractions with denominator 20.

$$\frac{\frac{579}{20}+\frac{164}{20}+104\times 1.5\times 1}{1}$$

Since \frac{579}{20} and \frac{164}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{579+164}{20}+104\times 1.5\times 1}{1}$$

Add 579 and 164 to get 743.

$$\frac{\frac{743}{20}+104\times 1.5\times 1}{1}$$

Multiply 104 and 1.5 to get 156.

$$\frac{\frac{743}{20}+156\times 1}{1}$$

Multiply 156 and 1 to get 156.

$$\frac{\frac{743}{20}+156}{1}$$

Convert 156 to fraction \frac{3120}{20}.

$$\frac{\frac{743}{20}+\frac{3120}{20}}{1}$$

Since \frac{743}{20} and \frac{3120}{20} have the same denominator, add them by adding their numerators.

$$\frac{\frac{743+3120}{20}}{1}$$

Add 743 and 3120 to get 3863.

$$\frac{\frac{3863}{20}}{1}$$

Anything divided by one gives itself.

$$\frac{3863}{20}$$

Factor

$$\frac{3863}{5 \cdot 2 ^ {2}} = 193\frac{3}{20} = 193.15$$