Evaluate :
(vi) `(8)/(-5)-:(24)/(25)`

Answer

To evaluate the expression \( \frac{8}{-5} \div \frac{24}{25} \), we can follow these steps:

### Step 1: Rewrite the division as multiplication
The expression can be rewritten using the property of division of fractions:
\[ \frac{8}{-5} \div \frac{24}{25} = \frac{8}{-5} \times \frac{25}{24} \]

### Step 2: Multiply the fractions
Now we can multiply the fractions:
\[ \frac{8 \times 25}{-5 \times 24} = \frac{200}{-120} \]

### Step 3: Simplify the fraction
Next, we simplify the fraction \( \frac{200}{-120} \). We can find the greatest common divisor (GCD) of 200 and 120, which is 40. Now we divide both the numerator and the denominator by 40:
\[ \frac{200 \div 40}{-120 \div 40} = \frac{5}{-3} \]

### Step 4: Write the final answer
Thus, the final answer can be expressed as:
\[ -\frac{5}{3} \]

### Final Answer:
\[ -\frac{5}{3} \]

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