(iii) (-2)/(5)×((3)/(8)-25)

Calculate Difference: First, we need to calculate the difference inside the parentheses: (3/8) - 25. To subtract these two numbers, we need a common denominator. Since 25 is a whole number, we can write it as a fraction with a denominator of 8 to match the first fraction: (3/8) - (200/8).Subtract Fractions: Now, subtract the two fractions: (3/8) - (200/8) = (3 - 200)/8 = -197/8.Multiply Fractions: Next, we multiply the fraction (-2/5) by the result of the subtraction (-197/8). To multiply two fractions, we multiply the numerators together and the denominators together: (-2/5) * (-197/8) = (2 * 197)/(5 * 8).Perform Multiplication: Now, perform the multiplication: (2 * 197)/(5 * 8) = 394/40.Simplify Fraction: Finally, simplify the fraction 394/40 by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 394/40 = (394/2)/(40/2) = 197/20.

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Q. (iii)

\frac{-2}{5} \times\left(\frac{3}{8}-25\right)

Calculate Difference: First, we need to calculate the difference inside the parentheses: $(\frac{3}{8}) - 25$ . To subtract these two numbers, we need a common denominator. Since $25$ is a whole number, we can write it as a fraction with a denominator of $8$ to match the first fraction: $(\frac{3}{8}) - (\frac{200}{8})$ .
Subtract Fractions: Now, subtract the two fractions: $(\frac{3}{8}) - (\frac{200}{8}) = \frac{3 - 200}{8} = -\frac{197}{8}$ .
Multiply Fractions: Next, we multiply the fraction $(-\frac{2}{5})$ by the result of the subtraction $(-\frac{197}{8})$ . To multiply two fractions, we multiply the numerators together and the denominators together: $(-\frac{2}{5}) \times (-\frac{197}{8}) = (2 \times 197)/(5 \times 8)$ .
Perform Multiplication: Now, perform the multiplication: $(2 \times 197)/(5 \times 8) = 394/40$ .
Simplify Fraction: Finally, simplify the fraction $\frac{394}{40}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ : $\frac{394}{40} = \frac{(394/2)}{(40/2)} = \frac{197}{20}$ .