Solve 911/16-51/8

$$9 \frac { 11 } { 16 } - 5 \frac { 1 } { 8 }$$

Evaluate

$$\frac{73}{16}=4.5625$$

Solution Steps

Multiply 9 and 16 to get 144.

$$\frac{144+11}{16}-\frac{5\times 8+1}{8}$$

Add 144 and 11 to get 155.

$$\frac{155}{16}-\frac{5\times 8+1}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{155}{16}-\frac{40+1}{8}$$

Add 40 and 1 to get 41.

$$\frac{155}{16}-\frac{41}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{155}{16} and \frac{41}{8} to fractions with denominator 16.

$$\frac{155}{16}-\frac{82}{16}$$

Since \frac{155}{16} and \frac{82}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-82}{16}$$

Subtract 82 from 155 to get 73.

$$\frac{73}{16}$$

Factor

$$\frac{73}{2 ^ {4}} = 4\frac{9}{16} = 4.5625$$