Solve 10*[0,57+(20,03-7,5):0,1]

$$10 \cdot [ 0,57 + ( 20,03 - 7,5 ) : 0,1 ]$$

Evaluate

$$1258,7$$

Solution Steps

Subtract 7,5 from 20,03 to get 12,53.

$$10\left(0,57+\frac{12,53}{0,1}\right)$$

Expand \frac{12,53}{0,1} by multiplying both numerator and the denominator by 100.

$$10\left(0,57+\frac{1253}{10}\right)$$

Convert decimal number 0,57 to fraction \frac{57}{100}.

$$10\left(\frac{57}{100}+\frac{1253}{10}\right)$$

Least common multiple of 100 and 10 is 100. Convert \frac{57}{100} and \frac{1253}{10} to fractions with denominator 100.

$$10\left(\frac{57}{100}+\frac{12530}{100}\right)$$

Since \frac{57}{100} and \frac{12530}{100} have the same denominator, add them by adding their numerators.

$$10\times \frac{57+12530}{100}$$

Add 57 and 12530 to get 12587.

$$10\times \frac{12587}{100}$$

Express 10\times \frac{12587}{100} as a single fraction.

$$\frac{10\times 12587}{100}$$

Multiply 10 and 12587 to get 125870.

$$\frac{125870}{100}$$

Reduce the fraction \frac{125870}{100} to lowest terms by extracting and canceling out 10.

$$\frac{12587}{10}$$

Factor

$$\frac{41 \cdot 307}{2 \cdot 5} = 1258\frac{7}{10} = 1258.7$$