Solve 25/4+25/16-12

$$\frac{ 25 }{ 4 } + \frac{ 25 }{ 16 } -12$$

Evaluate

$$-\frac{67}{16}=-4.1875$$

Solution Steps

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

$$\frac{100}{16}+\frac{25}{16}-12$$

Since \frac{100}{16} and \frac{25}{16} have the same denominator, add them by adding their numerators.

$$\frac{100+25}{16}-12$$

Add 100 and 25 to get 125.

$$\frac{125}{16}-12$$

Convert 12 to fraction \frac{192}{16}.

$$\frac{125}{16}-\frac{192}{16}$$

Since \frac{125}{16} and \frac{192}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-192}{16}$$

Subtract 192 from 125 to get -67.

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

Factor

$$-\frac{67}{16} = -4\frac{3}{16} = -4.1875$$