Solve (5.52-500-10/500*0.61)500/10

$$(5.52- \frac{ 500-10 }{ 500 } \times 0.61) \frac{ 500 }{ 10 }$$

Evaluate

$$246.11$$

Solution Steps

Subtract 10 from 500 to get 490.

$$\left(5.52-\frac{490}{500}\times 0.61\right)\times \frac{500}{10}$$

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

$$\left(5.52-\frac{49}{50}\times 0.61\right)\times \frac{500}{10}$$

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

$$\left(5.52-\frac{49}{50}\times \frac{61}{100}\right)\times \frac{500}{10}$$

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

$$\left(5.52-\frac{49\times 61}{50\times 100}\right)\times \frac{500}{10}$$

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

$$\left(5.52-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Convert decimal number 5.52 to fraction \frac{552}{100}. Reduce the fraction \frac{552}{100} to lowest terms by extracting and canceling out 4.

$$\left(\frac{138}{25}-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Least common multiple of 25 and 5000 is 5000. Convert \frac{138}{25} and \frac{2989}{5000} to fractions with denominator 5000.

$$\left(\frac{27600}{5000}-\frac{2989}{5000}\right)\times \frac{500}{10}$$

Since \frac{27600}{5000} and \frac{2989}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27600-2989}{5000}\times \frac{500}{10}$$

Subtract 2989 from 27600 to get 24611.

$$\frac{24611}{5000}\times \frac{500}{10}$$

Divide 500 by 10 to get 50.

$$\frac{24611}{5000}\times 50$$

Express \frac{24611}{5000}\times 50 as a single fraction.

$$\frac{24611\times 50}{5000}$$

Multiply 24611 and 50 to get 1230550.

$$\frac{1230550}{5000}$$

Reduce the fraction \frac{1230550}{5000} to lowest terms by extracting and canceling out 50.

$$\frac{24611}{100}$$

Factor

$$\frac{24611}{2 ^ {2} \cdot 5 ^ {2}} = 246\frac{11}{100} = 246.11$$