Question

27/34*(5-2 4/5 *1 1/9) Выполни действиями​

Answer 1

27/34 · (5 - 2 4/5 · 1 1/9) = 1 1/2.

1) 2 4/5 · 1 1/9 = 14/5 · 10/9 = (14·2)/(1·9) = 28/9 = 3 1/9

2) 5 - 3 1/9 = 1 8/9 = 17/9

3) 27/34 · 17/9 = (3·1)/(2·1) = 3/2 = 1 1/2

Ответ: 1 целая 1/2 (или 1,5 в десятичных дробях).

Answer 2

To solve the expression, we need to follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).

Step 1: Deal with the innermost parentheses. 5 - 2 4/5 * 1 1/9

To perform the subtraction, we need to convert the mixed numbers to improper fractions. 5 - 2 4/5 * 1 1/9 = 5 - (2 + 4/5) * (1 + 1/9) = 5 - (11/5) * (10/9) = 5 - (11/5) * (10/9) = 5 - (110/45)

Step 2: Perform the multiplication and division from left to right. 27/34 * (5 - 2 4/5 * 1 1/9) = 27/34 * (5 - 110/45) = 27/34 * (225/45 - 110/45) = 27/34 * (115/45)

Step 3: Simplify the expression. 27/34 * (115/45)

Step 4: Divide the fractions. 27/34 * (115/45) = (27 * 115) / (34 * 45) = 3105 / 1530

Now, we can simplify the fraction if possible: 3105 / 1530 = 207/102

So, the result of the expression is 207/102.