Question

(7) + (5/9) *( 7 - 5/9)

Answer 1

Ответ:

Пошаговое объяснение:

7+5/9×(7-5/9)=10 47/81

1)

7-5/9=6 4/9

2)

5/9×6 4/9=5/9×58/9=290/81=3 47/81

3)

7+3 47/81=10 47/81

Answer 2

To solve the expression (7) + (5/9) * (7 - 5/9), we can follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

First, let's simplify the expression inside the parentheses: (7) + (5/9) * (7 - 5/9) = 7 + (5/9) * (63/9 - 5/9) = 7 + (5/9) * (58/9)

Next, let's calculate the multiplication inside the parentheses: (5/9) * (58/9) = (5 * 58) / (9 * 9) = 290/81

Now, we can substitute the multiplication back into the original expression: 7 + 290/81

To add fractions, we need a common denominator. In this case, the denominators are already the same (81), so we can add the numerators: 7 + 290/81 = (7 * 81)/81 + 290/81 = (567 + 290)/81 = 857/81

Therefore, the final result is 857/81.