Answer:
-3/2.
Explanation:
To find the product of the rational number -1/5 and the reciprocal of 2/15, we need to multiply the two numbers together.
The reciprocal of a number is obtained by flipping the numerator and denominator. So, the reciprocal of 2/15 is 15/2.
To multiply fractions, we multiply the numerators together and the denominators together. So, (-1/5) * (15/2) is:
(-1 * 15) / (5 * 2) = -15/10
Next, we simplify the resulting fraction. Since both the numerator and denominator are divisible by 5, we divide them both by 5:
-15/10 = (-15 ÷ 5) / (10 ÷ 5) = -3/2
Therefore, the product of -1/5 and the reciprocal of 2/15 is -3/2.