Solve (31/2-2,75)

$$( 3 \frac { 1 } { 2 } - 2,75 )$$

Evaluate

$$0,75$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}-2,75$$

Add 6 and 1 to get 7.

$$\frac{7}{2}-2,75$$

Convert decimal number 2,75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{2}-\frac{11}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{11}{4} to fractions with denominator 4.

$$\frac{14}{4}-\frac{11}{4}$$

Since \frac{14}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-11}{4}$$

Subtract 11 from 14 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$