Solve 2.71-0.0591div2

$$2.71-0.0591 \div 2$$

Evaluate

$$2.68045$$

Solution Steps

Expand \frac{0.0591}{2} by multiplying both numerator and the denominator by 10000.

$$2.71-\frac{591}{20000}$$

Convert decimal number 2.71 to fraction \frac{271}{100}.

$$\frac{271}{100}-\frac{591}{20000}$$

Least common multiple of 100 and 20000 is 20000. Convert \frac{271}{100} and \frac{591}{20000} to fractions with denominator 20000.

$$\frac{54200}{20000}-\frac{591}{20000}$$

Since \frac{54200}{20000} and \frac{591}{20000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54200-591}{20000}$$

Subtract 591 from 54200 to get 53609.

$$\frac{53609}{20000}$$

Factor

$$\frac{53609}{2 ^ {5} \cdot 5 ^ {4}} = 2\frac{13609}{20000} = 2.68045$$