**Solution:**

To solve the given expression, we need to follow the order of operations, also known as BODMAS (Bracket, Order, Division, Multiplication, Addition, and Subtraction) rule.

The given expression is:

(2 - 1/3) × 2/3 × 5/4 ÷ 3/7 × 21/8

Let's simplify the expression step by step:

**Step 1: Simplify the brackets**

In the given expression, there are no brackets. So we move to the next step.

**Step 2: Simplify the division and multiplication from left to right**

We start with the division and multiplication operations from left to right.

2 - 1/3 = 2/1 - 1/3 = 6/3 - 1/3 = 5/3

Now the expression becomes:

5/3 × 2/3 × 5/4 ÷ 3/7 × 21/8

Next, we multiply the fractions:

5/3 × 2/3 = 10/9

Now the expression becomes:

10/9 × 5/4 ÷ 3/7 × 21/8

Next, we divide the fractions:

5/4 ÷ 3/7 = 5/4 × 7/3 = 35/12

Now the expression becomes:

10/9 × 35/12 × 21/8

**Step 3: Simplify the multiplication from left to right**

Next, we multiply the fractions:

10/9 × 35/12 = 350/108

Now the expression becomes:

350/108 × 21/8

**Step 4: Simplify the multiplication**

Next, we multiply the fractions:

350/108 × 21/8 = 7350/864

**Step 5: Simplify the fraction**

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide them by their GCD.

The GCD of 7350 and 864 is 18.

Therefore, the simplified fraction is:

7350/864 = 245/288

Hence, the value of the given expression is 245/288.

(2-1/3)+2/3×5/4÷3/7of21/8
=5/3 +2/3×5/4÷3/7×21/8
5/3+2/3×5/4÷9/8
5/3+2/3×5/4×8/9
5/3+2/3×10/9
5/3+20/27
45+20/27
65/27 is ans