Question

- 7/13 * (26/27 + x) - (4/9-x)​

Answer 1

Ответ:

-7/13*(26/27+х)-(4/9-х)=-7/13*26/27-7/13х-4/9+х=-14/27-4/9-7/13х+х=-14/27-12/27+(13/13х-7/13х)=-26/27+6/13х=6/13х-26/27

Пошаговое объяснение:

Answer 2

To simplify the expression, let's follow the order of operations (PEMDAS/BODMAS):

P - Parentheses E - Exponents MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

The expression is:

• 7/13 * (26/27 + x) - (4/9 - x)

Step 1: Simplify the expression inside the parentheses: 26/27 + x

Step 2: Find a common denominator for the fractions inside the parentheses, which is 27: (26/27 * 27/27) + (x * 27/27) (26/27 * 27/27) + (27x/27)

Step 3: Simplify the fractions inside the parentheses: (26/27) + (27x/27)

Step 4: Combine the fractions: (26 + 27x)/27

Now, our expression becomes:

• 7/13 * ((26 + 27x)/27) - (4/9 - x)

Step 5: Distribute the multiplication to the expression inside the first set of parentheses: (7/13) * (26 + 27x)/27

Step 6: Now, we can simplify the multiplication: (7 * (26 + 27x))/(13 * 27)

Step 7: Multiply the numbers in the numerator: (182 + 189x)/(13 * 27)

Step 8: Multiply the numbers in the denominator: (182 + 189x)/351

Now, the expression becomes:

(182 + 189x)/351 - (4/9 - x)

Step 9: Find a common denominator for the fractions: (182 + 189x)/351 - (4 * 39)/(9 * 39) + (9x)/9

Step 10: Simplify the expression in the second set of parentheses: (182 + 189x)/351 - 156/351 + (9x)/9

Step 11: Combine the fractions: (182 + 189x - 156 + 351x)/351

Step 12: Combine like terms in the numerator: (533x + 26)/351

So, the simplified expression is:

(533x + 26)/351