Solve 2.71-0.059div2

$$2.71-0.059 \div 2$$

Evaluate

$$2.6805$$

Solution Steps

Expand \frac{0.059}{2} by multiplying both numerator and the denominator by 1000.

$$2.71-\frac{59}{2000}$$

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

$$\frac{271}{100}-\frac{59}{2000}$$

Least common multiple of 100 and 2000 is 2000. Convert \frac{271}{100} and \frac{59}{2000} to fractions with denominator 2000.

$$\frac{5420}{2000}-\frac{59}{2000}$$

Since \frac{5420}{2000} and \frac{59}{2000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5420-59}{2000}$$

Subtract 59 from 5420 to get 5361.

$$\frac{5361}{2000}$$

Factor

$$\frac{3 \cdot 1787}{2 ^ {4} \cdot 5 ^ {3}} = 2\frac{1361}{2000} = 2.6805$$