Solve 311/16+41/2

$$3 \frac { 11 } { 16 } + 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{131}{16}=8.1875$$

Solution Steps

Multiply 3 and 16 to get 48.

$$\frac{48+11}{16}+\frac{4\times 2+1}{2}$$

Add 48 and 11 to get 59.

$$\frac{59}{16}+\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{59}{16}+\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{59}{16}+\frac{9}{2}$$

Least common multiple of 16 and 2 is 16. Convert \frac{59}{16} and \frac{9}{2} to fractions with denominator 16.

$$\frac{59}{16}+\frac{72}{16}$$

Since \frac{59}{16} and \frac{72}{16} have the same denominator, add them by adding their numerators.

$$\frac{59+72}{16}$$

Add 59 and 72 to get 131.

$$\frac{131}{16}$$

Factor

$$\frac{131}{2 ^ {4}} = 8\frac{3}{16} = 8.1875$$