Solve 13/4-9/16

$$\frac{ 13 }{ 4 } - \frac{ 9 }{ 16 }$$

Evaluate

$$\frac{43}{16}=2.6875$$

Solution Steps

Least common multiple of 4 and 16 is 16. Convert \frac{13}{4} and \frac{9}{16} to fractions with denominator 16.

$$\frac{52}{16}-\frac{9}{16}$$

Since \frac{52}{16} and \frac{9}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-9}{16}$$

Subtract 9 from 52 to get 43.

$$\frac{43}{16}$$

Factor

$$\frac{43}{2 ^ {4}} = 2\frac{11}{16} = 2.6875$$