Question

2 4/15−(2−1 1/15):4/9+3/2.

Answer 1

Ответ:2 4/15 - (2 - 1 1/15) : 4/9 + 3/2 = 5/6;

2 - 1 1/15 = 1 15/15 - 1 1/15 = 14/15;

14/15 : 4/9 = 14/15 * 9/4 = 21/10 = 2 1/10;

2 4/15 - 2 1/10 + 3/2 = 2 8/30 - 2 3/30 + 20/30 = 25/30 = 5/6.

Answer 2

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

1. Convert Mixed Fractions to Improper Fractions:

   • 2 4/15 = (2 * 15 + 4) / 15 = 34 / 15
   • 1 1/15 = (1 * 15 + 1) / 15 = 16 / 15

2. Evaluate the Expression Inside Parentheses:

   • 2 - 1 1/15 = 2 - (16 / 15) = (30 / 15) - (16 / 15) = 14 / 15

3. Simplify the Expression:

   • 2 4/15 - (2 - 1 1/15) = 34 / 15 - 14 / 15 = (34 - 14) / 15 = 20 / 15 = 4/3

4. Convert All Fractions to a Common Denominator:

   • 4/9 and 3/2 already have different denominators, so we need to find a common denominator, which is the least common multiple of 9 and 2, which is 18.

   • 4/9 = (4 * 2) / (9 * 2) = 8/18

   • 3/2 = (3 * 9) / (2 * 9) = 27/18

5. Perform Addition:

   • 8/18 + 27/18 = (8 + 27) / 18 = 35 / 18

Putting it all together:

2 4/15 - (2 - 1 1/15) : 4/9 + 3/2 = 4/3 : 35/18

Now, the expression has been simplified as much as possible. If you're looking for a numerical approximation, you can calculate the decimal value by dividing 4/3 by 35/18.