Question

2 4/15-(2-1 1/15):4/9+11/2

Answer 1

Ответ:

1)2-11/15=30/15-11/15=19/15=14/15

2)14/15:4/9=14/15*9/4=126/60=63/30=21/10=2.1

3)2 4/15-21/10=34/15-21/10=68/30-63/30=5/30=1/6

4)1/6+11/2=1/6+33/6=34/6=5 4/6=5 2/3

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Simplify within the parentheses 2 - 1 1/15 = 2 - (1 + 1/15) = 2 - (16/15) = 2 - 1 1/15 = 1 14/15

Step 2: Perform the subtraction within the parentheses 4/15 - 1 14/15 = 4/15 - (1 + 14/15) = 4/15 - (29/15) = 4/15 - 29/15 = -25/15 = -5/3

Step 3: Simplify the second fraction 4/9 + 11/2 = 4/9 + (11/2) * (9/9) = 4/9 + 99/18 = 4/9 + 11/2 = (42+911)/(9*2) = (8+99)/18 = 107/18

Now, the original expression becomes:

-5/3 + 107/18

Step 4: Find the common denominator (denominator of 18) To add fractions, they must have a common denominator. In this case, the common denominator is 18.

Step 5: Convert both fractions to have a denominator of 18

-5/3 * (6/6) = -30/18 107/18

Step 6: Add the fractions

(-30/18) + (107/18) = (107 - 30)/18 = 77/18

So, the final answer is 77/18.