Solve 61/2-23/4+11/2

$$6 \frac{ 1 }{ 2 } -2 \frac{ 3 }{ 4 } +1 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}-\frac{2\times 4+3}{4}+\frac{1\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}-\frac{2\times 4+3}{4}+\frac{1\times 2+1}{2}$$

Multiply 2 and 4 to get 8.

$$\frac{13}{2}-\frac{8+3}{4}+\frac{1\times 2+1}{2}$$

Add 8 and 3 to get 11.

$$\frac{13}{2}-\frac{11}{4}+\frac{1\times 2+1}{2}$$

Least common multiple of 2 and 4 is 4. Convert \frac{13}{2} and \frac{11}{4} to fractions with denominator 4.

$$\frac{26}{4}-\frac{11}{4}+\frac{1\times 2+1}{2}$$

Since \frac{26}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-11}{4}+\frac{1\times 2+1}{2}$$

Subtract 11 from 26 to get 15.

$$\frac{15}{4}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{15}{4}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{15}{4}+\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{15}{4}+\frac{6}{4}$$

Since \frac{15}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+6}{4}$$

Add 15 and 6 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$