Solve 165/4+93/2

$$16 \frac { 5 } { 4 } + 9 \frac { 3 } { 2 }$$

Evaluate

$$\frac{111}{4}=27.75$$

Solution Steps

Multiply 16 and 4 to get 64.

$$\frac{64+5}{4}+\frac{9\times 2+3}{2}$$

Add 64 and 5 to get 69.

$$\frac{69}{4}+\frac{9\times 2+3}{2}$$

Multiply 9 and 2 to get 18.

$$\frac{69}{4}+\frac{18+3}{2}$$

Add 18 and 3 to get 21.

$$\frac{69}{4}+\frac{21}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{69}{4} and \frac{21}{2} to fractions with denominator 4.

$$\frac{69}{4}+\frac{42}{4}$$

Since \frac{69}{4} and \frac{42}{4} have the same denominator, add them by adding their numerators.

$$\frac{69+42}{4}$$

Add 69 and 42 to get 111.

$$\frac{111}{4}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {2}} = 27\frac{3}{4} = 27.75$$