Solve 23/4+716/4

$$2 \frac{ 3 }{ 4 } +7 \frac{ 16 }{ 4 }$$

Evaluate

$$\frac{55}{4}=13.75$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{7\times 4+16}{4}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{7\times 4+16}{4}$$

Multiply 7 and 4 to get 28.

$$\frac{11}{4}+\frac{28+16}{4}$$

Add 28 and 16 to get 44.

$$\frac{11}{4}+\frac{44}{4}$$

Since \frac{11}{4} and \frac{44}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+44}{4}$$

Add 11 and 44 to get 55.

$$\frac{55}{4}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2}} = 13\frac{3}{4} = 13.75$$