Question

23:(6 целых 5/17 - 1 целая 12/17) - ( 4 целых 2/5 - 2 целых 3/5) : 5

Answer 1

Пошаговое объяснение:

вот пошагово по действиям

Answer 2

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

Step 1: Simplify the expressions within parentheses.

1 целая 12/17 can be converted to an improper fraction: 1 целая 12/17 = (1 * 17 + 12)/17 = 29/17

2 целых 3/5 can be converted to an improper fraction: 2 целых 3/5 = (2 * 5 + 3)/5 = 13/5

Step 2: Subtract the expressions within the first set of parentheses.

6 целых 5/17 - 1 целая 12/17 = (6 * 17 + 5)/17 - 29/17 = (102 + 5 - 29)/17 = 78/17

Step 3: Subtract the expressions within the second set of parentheses.

4 целых 2/5 - 2 целых 3/5 = (4 * 5 + 2)/5 - 13/5 = (20 + 2 - 13)/5 = 9/5

Step 4: Perform the division.

(9/5) : 5 = 9/5 * 1/5 = 9/25

Step 5: Subtract the results from Step 2 and Step 4.

78/17 - 9/25

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 17 and 25 is 425. So, we'll convert both fractions to have a denominator of 425.

78/17 * 25/25 = 1950/425 9/25 * 17/17 = 153/425

Now, the expression becomes:

(1950/425) - (153/425) = (1950 - 153) / 425 = 1797/425

Step 6: Simplify the result, if possible.

To simplify the fraction 1797/425, we can find the greatest common divisor (GCD) and divide both the numerator and denominator by it.

The GCD of 1797 and 425 is 1 (since 1797 is a prime number). Therefore, the simplified result is:

1797/425

So, the final answer to the expression is 1797/425.