Solve (+6.5)+(-33/4)=

$$(+6.5)+(-3 \frac{ 3 }{ 4 } )=$$

Evaluate

$$2.75$$

Solution Steps

Multiply 3 and 4 to get 12.

$$6.5-\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$6.5-\frac{15}{4}$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}-\frac{15}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{15}{4} to fractions with denominator 4.

$$\frac{26}{4}-\frac{15}{4}$$

Since \frac{26}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{4}$$

Subtract 15 from 26 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$