Solve 51/16-43/4

$$5 \frac { 1 } { 16 } - 4 \frac { 3 } { 4 }$$

Evaluate

$$\frac{5}{16}=0.3125$$

Solution Steps

Multiply 5 and 16 to get 80.

$$\frac{80+1}{16}-\frac{4\times 4+3}{4}$$

Add 80 and 1 to get 81.

$$\frac{81}{16}-\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{81}{16}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{81}{16}-\frac{19}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{81}{16} and \frac{19}{4} to fractions with denominator 16.

$$\frac{81}{16}-\frac{76}{16}$$

Since \frac{81}{16} and \frac{76}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-76}{16}$$

Subtract 76 from 81 to get 5.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$