Question

2.4/15-(2-1.1/15):4/9+3/2

Answer 1

2 4/15 - (2 - 1 1/15) : 4/9 + 3/2 = 1 2/3

1) 2 - 1 1/15 = 1 15/15 - 1 1/15 = 14/15

2) 14/15 : 4/9 = 14/15 · 9/4 = (7·3)/(5·2) = 21/10 = 2 1/10

3) 2 4/15 - 2 1/10 = 2 8/30 - 2 3/30 = 5/30 = 1/6

4) 1/6 + 3/2 = 1/6 + 9/6 = 10/6 = 5/3 = 1 2/3

Ответ: 1 целая 2/3.

Answer 2

Let's solve the expression step by step:

Step 1: Simplify the expression inside the parentheses: 2 - 1.1/15 = 1.9

Step 2: Perform the subtraction within the parentheses: 2.4/15 - 1.9/15 = 0.5/15

Step 3: Simplify the division: 0.5/15 = 1/30

Step 4: Perform the addition: 4/9 + 3/2

To add these fractions, we need to find a common denominator, which is 18. Now, let's convert both fractions:

4/9 = (4/9) * (2/2) = 8/18 3/2 = (3/2) * (9/9) = 27/18

Step 5: Add the fractions: 8/18 + 27/18 = 35/18

So, the final result of the expression is:

1/30 + 35/18 = (1/30) + (35/18)

To add these fractions, we need to find a common denominator, which is 90. Now, let's convert both fractions:

1/30 = (1/30) * (3/3) = 3/90 35/18 = (35/18) * (5/5) = 175/90

Now, add the fractions:

3/90 + 175/90 = 178/90

Lastly, simplify the fraction:

178/90 = 89/45

So, the final result of the expression is 89/45.