Solve 51/2+43/16

$$5 \frac { 1 } { 2 } + 4 \frac { 3 } { 16 }$$

Evaluate

$$\frac{155}{16}=9.6875$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\frac{4\times 16+3}{16}$$

Add 10 and 1 to get 11.

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

Multiply 4 and 16 to get 64.

$$\frac{11}{2}+\frac{64+3}{16}$$

Add 64 and 3 to get 67.

$$\frac{11}{2}+\frac{67}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{11}{2} and \frac{67}{16} to fractions with denominator 16.

$$\frac{88}{16}+\frac{67}{16}$$

Since \frac{88}{16} and \frac{67}{16} have the same denominator, add them by adding their numerators.

$$\frac{88+67}{16}$$

Add 88 and 67 to get 155.

$$\frac{155}{16}$$

Factor

$$\frac{5 \cdot 31}{2 ^ {4}} = 9\frac{11}{16} = 9.6875$$