Solve -15/20-610/20

$$-1 \frac{ 5 }{ 20 } -6 \frac{ 10 }{ 20 }$$

Evaluate

$$-\frac{31}{4}=-7.75$$

Solution Steps

Multiply 1 and 20 to get 20.

$$-\frac{20+5}{20}-\frac{6\times 20+10}{20}$$

Add 20 and 5 to get 25.

$$-\frac{25}{20}-\frac{6\times 20+10}{20}$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{5}{4}-\frac{6\times 20+10}{20}$$

Multiply 6 and 20 to get 120.

$$-\frac{5}{4}-\frac{120+10}{20}$$

Add 120 and 10 to get 130.

$$-\frac{5}{4}-\frac{130}{20}$$

Reduce the fraction \frac{130}{20} to lowest terms by extracting and canceling out 10.

$$-\frac{5}{4}-\frac{13}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{5}{4} and \frac{13}{2} to fractions with denominator 4.

$$-\frac{5}{4}-\frac{26}{4}$$

Since -\frac{5}{4} and \frac{26}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-26}{4}$$

Subtract 26 from -5 to get -31.

$$-\frac{31}{4}$$

Factor

$$-\frac{31}{4} = -7\frac{3}{4} = -7.75$$