Solve 11/4+61/2

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

Evaluate

$$\frac{31}{4}=7.75$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+1}{4}+\frac{6\times 2+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{5}{4}+\frac{6\times 2+1}{2}$$

Multiply 6 and 2 to get 12.

$$\frac{5}{4}+\frac{12+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{5}{4}+\frac{13}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{13}{2} to fractions with denominator 4.

$$\frac{5}{4}+\frac{26}{4}$$

Since \frac{5}{4} and \frac{26}{4} have the same denominator, add them by adding their numerators.

$$\frac{5+26}{4}$$

Add 5 and 26 to get 31.

$$\frac{31}{4}$$

Factor

$$\frac{31}{2 ^ {2}} = 7\frac{3}{4} = 7.75$$