Question

Дробь (20 16\25 + 13 9\25) - (23 4\14+ 7 13\14)

Answer 1

вот что у меня получилось

Answer 2

To solve the given expression, we need to add the fractions within each parenthesis first and then subtract the results. Let's break it down step by step:

Step 1: Add the fractions within the first parenthesis (20 16/25 + 13 9/25):

To add these two mixed fractions, first, we need to convert them into improper fractions (fractions with a numerator greater than the denominator):

20 16/25 = (20 * 25 + 16) / 25 = 516/25 13 9/25 = (13 * 25 + 9) / 25 = 334/25

Now, we can add the improper fractions:

516/25 + 334/25 = (516 + 334) / 25 = 850/25 = 34

Step 2: Add the fractions within the second parenthesis (23 4/14 + 7 13/14):

Similarly, convert the mixed fractions into improper fractions:

23 4/14 = (23 * 14 + 4) / 14 = 322/14 7 13/14 = (7 * 14 + 13) / 14 = 105/14

Now, add the improper fractions:

322/14 + 105/14 = (322 + 105) / 14 = 427/14 = 30 7/14 = 30 1/2

Step 3: Subtract the results from Step 1 and Step 2:

34 - 30 1/2

To subtract mixed fractions, we first need to convert them into improper fractions:

30 1/2 = (30 * 2 + 1) / 2 = 61/2

Now, subtract the improper fractions:

34 - 61/2

To perform this subtraction, the fractions need a common denominator. The least common multiple (LCM) of 2 is 2, so we rewrite 34 as an improper fraction with a denominator of 2:

34 = (34 * 2) / 2 = 68/2

Now, we can subtract the improper fractions:

68/2 - 61/2 = (68 - 61) / 2 = 7/2 = 3 1/2

Therefore, the result of the expression is 3 1/2.