Solve 61/4-13/16

$$6 \frac { 1 } { 4 } - \frac { 13 } { 16 }$$

Evaluate

$$\frac{87}{16}=5.4375$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}-\frac{13}{16}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}-\frac{13}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{25}{4} and \frac{13}{16} to fractions with denominator 16.

$$\frac{100}{16}-\frac{13}{16}$$

Since \frac{100}{16} and \frac{13}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-13}{16}$$

Subtract 13 from 100 to get 87.

$$\frac{87}{16}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {4}} = 5\frac{7}{16} = 5.4375$$