Solve 61/4-13/16

$$6 \frac { 1 } { 4 } - 1 \frac { 3 } { 16 }$$

Evaluate

$$\frac{81}{16}=5.0625$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}-\frac{1\times 16+3}{16}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}-\frac{1\times 16+3}{16}$$

Multiply 1 and 16 to get 16.

$$\frac{25}{4}-\frac{16+3}{16}$$

Add 16 and 3 to get 19.

$$\frac{25}{4}-\frac{19}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{25}{4} and \frac{19}{16} to fractions with denominator 16.

$$\frac{100}{16}-\frac{19}{16}$$

Since \frac{100}{16} and \frac{19}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-19}{16}$$

Subtract 19 from 100 to get 81.

$$\frac{81}{16}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$