Solve 41/4+71/2

$$4 \frac { 1 } { 4 } + 7 \frac { 1 } { 2 }$$

Evaluate

$$\frac{47}{4}=11.75$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}+\frac{7\times 2+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}+\frac{7\times 2+1}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{17}{4}+\frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$\frac{17}{4}+\frac{15}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{17}{4} and \frac{15}{2} to fractions with denominator 4.

$$\frac{17}{4}+\frac{30}{4}$$

Since \frac{17}{4} and \frac{30}{4} have the same denominator, add them by adding their numerators.

$$\frac{17+30}{4}$$

Add 17 and 30 to get 47.

$$\frac{47}{4}$$

Factor

$$\frac{47}{2 ^ {2}} = 11\frac{3}{4} = 11.75$$