Question

(8-2 1/7*3 1/9)*27/44​

Answer 1

Ответ:

9/11

Пошаговое объяснение:

1) 2 1/7 * 3 1/9 = 15/7 * 28/9 = 20/3 = 6 2/3

2) 8 - 6 2/3 = 1 1/3

3) 1 1/3 * 27/44 = 4/3 * 27/44 = 9/11

Answer 2

To solve the expression (8 - 2 1/7 * 3 1/9) * 27/44, we need to simplify it step by step. Let's break it down:

First, let's calculate the value within the parentheses: 2 1/7 * 3 1/9.

To multiply fractions, we need to convert the mixed numbers to improper fractions:

2 1/7 = (2 * 7 + 1) / 7 = 15/7

3 1/9 = (3 * 9 + 1) / 9 = 28/9

Now we can multiply the fractions:

(15/7) * (28/9) = (15 * 28) / (7 * 9) = 420/63

Simplifying the fraction, we get:

420/63 = 60/9 = 20/3

Now let's substitute this value back into the original expression and continue:

(8 - 20/3) * 27/44

To subtract fractions, we need a common denominator:

8 = 8/1

Convert 8 to a fraction with the same denominator as 20/3:

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

Now we can subtract the fractions:

(24/3 - 20/3) * 27/44 = 4/3 * 27/44

To multiply fractions, we multiply the numerators and denominators:

(4 * 27) / (3 * 44) = 108/132

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

108/132 = (108/12) / (132/12) = 9/11

Therefore, (8 - 2 1/7 * 3 1/9) * 27/44 simplifies to 9/11.