Solve 11/2-0.8/2.1

$$\frac { 11 } { 2 } - \frac { 0.8 } { 2.1 }$$

Evaluate

$$\frac{215}{42}\approx 5.119047619$$

Solution Steps

Expand \frac{0.8}{2.1} by multiplying both numerator and the denominator by 10.

$$\frac{11}{2}-\frac{8}{21}$$

Least common multiple of 2 and 21 is 42. Convert \frac{11}{2} and \frac{8}{21} to fractions with denominator 42.

$$\frac{231}{42}-\frac{16}{42}$$

Since \frac{231}{42} and \frac{16}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{231-16}{42}$$

Subtract 16 from 231 to get 215.

$$\frac{215}{42}$$

Factor

$$\frac{5 \cdot 43}{2 \cdot 3 \cdot 7} = 5\frac{5}{42} = 5.119047619047619$$