Solve (5.21-500-10/500*0.61)500/10

$$(5.21- \frac{ 500-10 }{ 500 } \times 0.61) \frac{ 500 }{ 10 }$$

Evaluate

$$230.61$$

Solution Steps

Subtract 10 from 500 to get 490.

$$\left(5.21-\frac{490}{500}\times 0.61\right)\times \frac{500}{10}$$

Reduce the fraction \frac{490}{500} to lowest terms by extracting and canceling out 10.

$$\left(5.21-\frac{49}{50}\times 0.61\right)\times \frac{500}{10}$$

Convert decimal number 0.61 to fraction \frac{61}{100}.

$$\left(5.21-\frac{49}{50}\times \frac{61}{100}\right)\times \frac{500}{10}$$

Multiply \frac{49}{50} times \frac{61}{100} by multiplying numerator times numerator and denominator times denominator.

$$\left(5.21-\frac{49\times 61}{50\times 100}\right)\times \frac{500}{10}$$

Do the multiplications in the fraction \frac{49\times 61}{50\times 100}.

$$\left(5.21-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Convert decimal number 5.21 to fraction \frac{521}{100}.

$$\left(\frac{521}{100}-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Least common multiple of 100 and 5000 is 5000. Convert \frac{521}{100} and \frac{2989}{5000} to fractions with denominator 5000.

$$\left(\frac{26050}{5000}-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Since \frac{26050}{5000} and \frac{2989}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26050-2989}{5000}\times \frac{500}{10}$$

Subtract 2989 from 26050 to get 23061.

$$\frac{23061}{5000}\times \frac{500}{10}$$

Divide 500 by 10 to get 50.

$$\frac{23061}{5000}\times 50$$

Express \frac{23061}{5000}\times 50 as a single fraction.

$$\frac{23061\times 50}{5000}$$

Multiply 23061 and 50 to get 1153050.

$$\frac{1153050}{5000}$$

Reduce the fraction \frac{1153050}{5000} to lowest terms by extracting and canceling out 50.

$$\frac{23061}{100}$$

Factor

$$\frac{3 \cdot 7687}{2 ^ {2} \cdot 5 ^ {2}} = 230\frac{61}{100} = 230.61$$