8x/3+2/9

2.6667x+0.22222

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To simplify the expression 8x/3 + 2/9, we need to find a common denominator and combine the fractions. Here's how you can do it step by step:

Step 1: Find the least common multiple (LCM) of the denominators, which are 3 and 9. In this case, the LCM is 9 because it's divisible by both 3 and 9.

Step 2: Rewrite each fraction with the common denominator of 9. To do this, multiply the numerator and denominator of the first fraction (8x/3) by 3, and multiply the numerator and denominator of the second fraction (2/9) by 1:

(8x/3) * (3/3) + (2/9) * (1/1)

Step 3: Simplify the fractions by multiplying:

(8x * 3) / (3 * 3) + (2 * 1) / (9 * 1)

This gives us:

24x/9 + 2/9

Step 4: Combine the fractions by adding the numerators when they have the same denominator:

(24x + 2) / 9

Therefore, the simplified expression is (24x + 2) / 9.