Solve 121/2+51/4

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

Evaluate

$$\frac{71}{4}=17.75$$

Solution Steps

Multiply 12 and 2 to get 24.

$$\frac{24+1}{2}+\frac{5\times 4+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{25}{2}+\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{25}{2}+\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{25}{2}+\frac{21}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{25}{2} and \frac{21}{4} to fractions with denominator 4.

$$\frac{50}{4}+\frac{21}{4}$$

Since \frac{50}{4} and \frac{21}{4} have the same denominator, add them by adding their numerators.

$$\frac{50+21}{4}$$

Add 50 and 21 to get 71.

$$\frac{71}{4}$$

Factor

$$\frac{71}{2 ^ {2}} = 17\frac{3}{4} = 17.75$$