Answer:
6/35
Explanation:
Let's find the value of the expression step-by-step.
Given:
a = -6/7
b = -3/10
Expression:
(2/3)ab
Step 1: Substitute the values of a and b into the expression.
⇒ (2/3) · (-6/7) · (-3/10)
Step 2: Simplify the multiplication.
⇒ (2/3) · (-6/7) · (-3/10)
⇒ (2/3) · (-6 · -3) / (7 · 10)
⇒(2/3) · (18/70)
⇒ (2 · 18) / (3 · 70)
⇒ 36/210
Step 3: Simplify the fraction.
The fraction 36/210 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6.
⇒(36 ÷ 6) / (210 ÷ 6) = 6 / 35
So, the value of the expression (2/3)ab, when a = -6/7 and b = -3/10, is 6/35.