Solve 10+11/4-2-21/2

$$10+1 \frac{ 1 }{ 4 } -2-2 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Multiply 1 and 4 to get 4.

$$10+\frac{4+1}{4}-2-\frac{2\times 2+1}{2}$$

Add 4 and 1 to get 5.

$$10+\frac{5}{4}-2-\frac{2\times 2+1}{2}$$

Convert 10 to fraction \frac{40}{4}.

$$\frac{40}{4}+\frac{5}{4}-2-\frac{2\times 2+1}{2}$$

Since \frac{40}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{40+5}{4}-2-\frac{2\times 2+1}{2}$$

Add 40 and 5 to get 45.

$$\frac{45}{4}-2-\frac{2\times 2+1}{2}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{45}{4}-\frac{8}{4}-\frac{2\times 2+1}{2}$$

Since \frac{45}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-8}{4}-\frac{2\times 2+1}{2}$$

Subtract 8 from 45 to get 37.

$$\frac{37}{4}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{37}{4}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{37}{4}-\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{37}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{37}{4}-\frac{10}{4}$$

Since \frac{37}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-10}{4}$$

Subtract 10 from 37 to get 27.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$