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(2/3 x 1/5) x 5/2 as 5/2 x (1/5 x 2/3)

1 Answer

5 votes

Yes, these two expressions are equivalent.

Here's how we can see this:

Step 1: Simplify each expression separately.

Left-hand side: (2/3 x 1/5) x 5/2

(2/3) x (1/5) = 2/15

2/15 x 5/2 = 2/6 = 1/3

Right-hand side: 5/2 x (1/5 x 2/3)

(1/5) x (2/3) = 2/15

5/2 x 2/15 = 1/3

Step 2: Compare the simplified expressions.

We see that both simplified expressions equal 1/3.

Therefore, (2/3 x 1/5) x 5/2 is equivalent to 5/2 x (1/5 x 2/3).

User Mohammad Fatemi
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