Question

(7 1/3-х)-(2 2/9-х)=

Answer 1

71(9-х)-22(3-х)/(3-х)(9-х)=639-71х-66+22х/27-3х-9х+х^2=573-49х/х^2-12х+27

Answer 2

To solve the expression (7 1/3 - x) - (2 2/9 - x), we need to first simplify the given expression step by step.

Step 1: Convert mixed numbers to improper fractions 7 1/3 can be written as an improper fraction as follows: 7 1/3 = (7 * 3 + 1) / 3 = 22 / 3

2 2/9 can be written as an improper fraction as follows: 2 2/9 = (2 * 9 + 2) / 9 = 20 / 9

Step 2: Rewrite the expression using the improper fractions (22/3 - x) - (20/9 - x)

Step 3: Simplify the expression by removing the parentheses To remove the parentheses around the second term, distribute the negative sign: (22/3 - x) - 20/9 + x

Step 4: Combine like terms Combine the terms with 'x': (-x + x) = 0

Step 5: Final result The simplified expression is: 22/3 - 20/9

To subtract fractions, they need to have a common denominator. The common denominator for 3 and 9 is 9. So, let's convert the fractions to have a common denominator:

(22/3) - (20/9)

To convert 22/3 to have a denominator of 9, we multiply both the numerator and denominator by 3: (22/3) * (3/3) = 66/9

Now we can subtract the fractions: 66/9 - 20/9 = (66 - 20) / 9 = 46/9

So the final answer is 46/9, which can also be written as 5 1/9.