Solve -4/5-0.75div11/8

$$- \frac { 4 } { 5 } - 0.75 \div 1 \frac { 1 } { 8 }$$

Evaluate

$$-\frac{22}{15}\approx -1.466666667$$

Solution Steps

Divide 0.75 by \frac{1\times 8+1}{8} by multiplying 0.75 by the reciprocal of \frac{1\times 8+1}{8}.

$$-\frac{4}{5}-\frac{0.75\times 8}{1\times 8+1}$$

Multiply 0.75 and 8 to get 6.

$$-\frac{4}{5}-\frac{6}{1\times 8+1}$$

Multiply 1 and 8 to get 8.

$$-\frac{4}{5}-\frac{6}{8+1}$$

Add 8 and 1 to get 9.

$$-\frac{4}{5}-\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{5}-\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{4}{5} and \frac{2}{3} to fractions with denominator 15.

$$-\frac{12}{15}-\frac{10}{15}$$

Since -\frac{12}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-10}{15}$$

Subtract 10 from -12 to get -22.

$$-\frac{22}{15}$$

Factor

$$-\frac{22}{15} = -1\frac{7}{15} = -1.4666666666666666$$