Solve 271/16-163/4

$$27 \frac { 1 } { 16 } - 16 \frac { 3 } { 4 }$$

Evaluate

$$\frac{165}{16}=10.3125$$

Solution Steps

Multiply 27 and 16 to get 432.

$$\frac{432+1}{16}-\frac{16\times 4+3}{4}$$

Add 432 and 1 to get 433.

$$\frac{433}{16}-\frac{16\times 4+3}{4}$$

Multiply 16 and 4 to get 64.

$$\frac{433}{16}-\frac{64+3}{4}$$

Add 64 and 3 to get 67.

$$\frac{433}{16}-\frac{67}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{433}{16} and \frac{67}{4} to fractions with denominator 16.

$$\frac{433}{16}-\frac{268}{16}$$

Since \frac{433}{16} and \frac{268}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{433-268}{16}$$

Subtract 268 from 433 to get 165.

$$\frac{165}{16}$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2 ^ {4}} = 10\frac{5}{16} = 10.3125$$