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What is the value of the expression 2/3 ab if a=-6/7 and b=-3/10
PLEASE GIVE STEP BY STEP!

User Dembele
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1 Answer

3 votes

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.

User Laaposto
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