1) Ginh a) -(5)/(6) cdot(-10)-(1)/(-2) b, -(3)/(4):(-(1)/(2))-(1)/(8) c) (-(2)/(3)+1):((-2)/(9))-(5)/(6): (1)/(3)

To solve the expression $-\frac{3}{4} : (-\frac{1}{2}) - -\frac{-1}{8}$, we need to follow the order of operations (PEMDAS/BODMAS). This means we first handle any parentheses or brackets, then exponents or orders, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.<br /><br />1. **Division**: <br /> \[<br /> -\frac{3}{4} \div (-\frac{1}{2})<br /> \]<br /> Dividing by a fraction is the same as multiplying by its reciprocal:<br /> \[<br /> -\frac{3}{4} \times -2 = \frac{3 \times 2}{4} = \frac{6}{4} = \frac{3}{2}<br /> \]<br /><br />2. **Subtraction**:<br /> \[<br /> \frac{3}{2} - -\frac{-1}{8}<br /> \]<br /> Subtracting a negative is the same as adding its positive:<br /> \[<br /> \frac{3}{2} + \frac{1}{8}<br /> \]<br /><br />3. **Addition**:<br /> To add these fractions, we need a common denominator. The least common multiple of 2 and 8 is 8.<br /> \[<br /> \frac{3}{2} = \frac{3 \times 4}{2 \times 4} = \frac{12}{8}<br /> \]<br /> So,<br /> \[<br /> \frac{12}{8} + \frac{1}{8} = \frac{12 + 1}{8} = \frac{13}{8}<br /> \]<br /><br />Therefore, the solution to the expression $-\frac{3}{4} : (-\frac{1}{2}) - -\frac{-1}{8}$ is:<br />\[<br />\frac{13}{8}<br />\]<br /><br />In decimal form, this is:<br />\[<br />1.625<br />\]<br /><br />In percentage form, this is:<br />\[<br />162.5\%<br />\]<br /><br />So, the final answer can be expressed as:<br />\[<br />\frac{13}{8}, \quad 1.625, \quad 162.5\%<br />\]