Solve 1/4-1/4div(2)-2

$$\frac{ 1 }{ 4 } - \frac{ 1 }{ 4 } \div (2)-2$$

Evaluate

$$-\frac{15}{8}=-1.875$$

Solution Steps

Express \frac{\frac{1}{4}}{2} as a single fraction.

$$\frac{1}{4}-\frac{1}{4\times 2}-2$$

Multiply 4 and 2 to get 8.

$$\frac{1}{4}-\frac{1}{8}-2$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{2}{8}-\frac{1}{8}-2$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{8}-2$$

Subtract 1 from 2 to get 1.

$$\frac{1}{8}-2$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{1}{8}-\frac{16}{8}$$

Since \frac{1}{8} and \frac{16}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-16}{8}$$

Subtract 16 from 1 to get -15.

$$-\frac{15}{8}$$

Factor

$$-\frac{15}{8} = -1\frac{7}{8} = -1.875$$