Solve 201/2-153/16

$$20 \frac{ 1 }{ 2 } -15 \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{85}{16}=5.3125$$

Solution Steps

Multiply 20 and 2 to get 40.

$$\frac{40+1}{2}-\frac{15\times 16+3}{16}$$

Add 40 and 1 to get 41.

$$\frac{41}{2}-\frac{15\times 16+3}{16}$$

Multiply 15 and 16 to get 240.

$$\frac{41}{2}-\frac{240+3}{16}$$

Add 240 and 3 to get 243.

$$\frac{41}{2}-\frac{243}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{41}{2} and \frac{243}{16} to fractions with denominator 16.

$$\frac{328}{16}-\frac{243}{16}$$

Since \frac{328}{16} and \frac{243}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{328-243}{16}$$

Subtract 243 from 328 to get 85.

$$\frac{85}{16}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {4}} = 5\frac{5}{16} = 5.3125$$