Question

(2 2/3- 2 2/9 )• (2 -1 1/2)

Answer 1

2 2/3-2 2/9=2 6/9-2 2/9=4/9

2-1 1/2=1/2

4/9*1/2=2/9

Answer 2

To solve the expression, first, we need to simplify the fractions and then perform the subtraction and multiplication operations. Let's break it down step by step:

Step 1: Simplify the fractions 2 2/3 = (2 * 3 + 2) / 3 = 8/3 2 2/9 = (2 * 9 + 2) / 9 = 20/9

Step 2: Perform the subtraction inside the parentheses (8/3 - 20/9) = To subtract fractions, we need to find a common denominator, which in this case is 9. Common denominator: 9

8/3 = (8/3) * (3/3) = 24/9 20/9 = (20/9) * (1/1) = 20/9

Now, subtract: (24/9 - 20/9) = 4/9

Step 3: Perform the multiplication (4/9) * (2 - 1 1/2) = We need to convert the mixed number (2 - 1 1/2) to an improper fraction. 1 1/2 = (1 * 2 + 1) / 2 = 3/2

Now, subtract the fractions inside the parentheses: (2 - 3/2) = To subtract a whole number from a fraction, we can write the whole number as a fraction with a denominator of 1. 2 = (2 * 1) / 1 = 2/1

Now, find a common denominator (2 in this case): 2 = (2/1) * (2/2) = 4/2

Now, subtract: (4/2 - 3/2) = 1/2

Step 4: Final result (4/9) * (1/2) = To multiply fractions, multiply the numerators together and the denominators together: (4 * 1) / (9 * 2) = 4/18

Now, we can simplify the result: 4/18 = (4/2) * (1/18) = 2/9

So, the final result of the expression is 2/9.