Solve 330/10020/10020/100+330/100frac{20}{100}frac{50}{100}

$$3 \frac{ 30 }{ 100 } \frac{ 20 }{ 100 } \frac{ 20 }{ 100 } +3 \frac{ 30 }{ 100 } \frac{ 20 }{ 100 } \frac{ 50 }{ 100 }$$

Evaluate

$$\frac{231}{500}=0.462$$

Solution Steps

Multiply \frac{20}{100} and \frac{20}{100} to get \left(\frac{20}{100}\right)^{2}.

$$\frac{3\times 100+30}{100}\times \left(\frac{20}{100}\right)^{2}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Multiply 3 and 100 to get 300.

$$\frac{300+30}{100}\times \left(\frac{20}{100}\right)^{2}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Add 300 and 30 to get 330.

$$\frac{330}{100}\times \left(\frac{20}{100}\right)^{2}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Reduce the fraction \frac{330}{100} to lowest terms by extracting and canceling out 10.

$$\frac{33}{10}\times \left(\frac{20}{100}\right)^{2}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

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

$$\frac{33}{10}\times \left(\frac{1}{5}\right)^{2}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$\frac{33}{10}\times \frac{1}{25}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Multiply \frac{33}{10} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 1}{10\times 25}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Do the multiplications in the fraction \frac{33\times 1}{10\times 25}.

$$\frac{33}{250}+\frac{3\times 100+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Multiply 3 and 100 to get 300.

$$\frac{33}{250}+\frac{300+30}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Add 300 and 30 to get 330.

$$\frac{33}{250}+\frac{330}{100}\times \frac{20}{100}\times \frac{50}{100}$$

Reduce the fraction \frac{330}{100} to lowest terms by extracting and canceling out 10.

$$\frac{33}{250}+\frac{33}{10}\times \frac{20}{100}\times \frac{50}{100}$$

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

$$\frac{33}{250}+\frac{33}{10}\times \frac{1}{5}\times \frac{50}{100}$$

Multiply \frac{33}{10} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33}{250}+\frac{33\times 1}{10\times 5}\times \frac{50}{100}$$

Do the multiplications in the fraction \frac{33\times 1}{10\times 5}.

$$\frac{33}{250}+\frac{33}{50}\times \frac{50}{100}$$

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

$$\frac{33}{250}+\frac{33}{50}\times \frac{1}{2}$$

Multiply \frac{33}{50} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33}{250}+\frac{33\times 1}{50\times 2}$$

Do the multiplications in the fraction \frac{33\times 1}{50\times 2}.

$$\frac{33}{250}+\frac{33}{100}$$

Least common multiple of 250 and 100 is 500. Convert \frac{33}{250} and \frac{33}{100} to fractions with denominator 500.

$$\frac{66}{500}+\frac{165}{500}$$

Since \frac{66}{500} and \frac{165}{500} have the same denominator, add them by adding their numerators.

$$\frac{66+165}{500}$$

Add 66 and 165 to get 231.

$$\frac{231}{500}$$

Factor

$$\frac{3 \cdot 7 \cdot 11}{2 ^ {2} \cdot 5 ^ {3}} = 0.462$$