Question

5 2/9:(3-1 1/9*2 2/5)+4/

Answer 1

Ответ:

Пошаговое объяснение:

если 5 2/9 : (3 - 1 1/9 * 2 2/5) + 4/5 =, тогда

1 1/9 * 2 2/5 = 10/9 * 12/5 = 8/3 = 2 2/3

3 - 2 2/3 = 2 3/3 - 2 2/3 = 1/3

5 2/9 : 1/3 = 47/9 : 1/3 = 47/9 * 3 = 15 2/3

15 2/3 + 4/5 = 15 10/15 + 12/15 = 15 22/15 = 16 7/15

Answer 2

To simplify the expression 5 2/9:(3-1 1/9*2 2/5)+4/, follow these steps:

Step 1: Simplify within the parentheses. 3 - 1 1/9 * 2 2/5

Step 2: Convert mixed numbers to improper fractions. 3 - 1 1/9 * 2 2/5 = 3 - (9/9 + 1/9) * (5/5 + 2/5)

Step 3: Perform the multiplications and subtractions within the parentheses. 3 - (10/9) * (7/5) = 3 - (70/45)

Step 4: Convert the result back to a mixed number. 70/45 can be simplified to 14/9, which is equivalent to 1 5/9.

So, the expression becomes:

5 2/9:(1 5/9) + 4/

Step 5: Perform the division and simplify.

To divide a mixed number by another mixed number, you can convert both to improper fractions and then perform the division. Here's how:

5 2/9 ÷ 1 5/9

Convert to improper fractions: (47/9) ÷ (14/9)

Now, divide: (47/9) ÷ (14/9) = (47/9) * (9/14) = 47/14

Now, we have:

47/14 + 4/

Step 6: Add the fractions.

To add 47/14 and 4/ as fractions, find a common denominator, which is 14. Then add the numerators:

(47/14) + (4/1) = (47/14) + (56/14)

Now, add the numerators: (47/14) + (56/14) = (47 + 56) / 14 = 103/14

So, the simplified expression is 103/14.