Solve 23/4+42/2

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

Evaluate

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

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{4\times 2+2}{2}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{4\times 2+2}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{11}{4}+\frac{8+2}{2}$$

Add 8 and 2 to get 10.

$$\frac{11}{4}+\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$\frac{11}{4}+5$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{11}{4}+\frac{20}{4}$$

Since \frac{11}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+20}{4}$$

Add 11 and 20 to get 31.

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

Factor

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