Question

( 1\24+1\4) : (3целых 3\4 - 2целых7\8) * (9\23+2*7\23)​

Answer 1

Ответ:

1\3

Пошаговое объяснение:

7\24÷(15\4-23\8)×(9\23+14\23)=7\24÷7\8×1=7\24×8\7=1\3

\ это дробь

в последнем нужно сократить

Answer 2

Let's break down the expression step by step:

1. First, simplify the fractions in the parentheses:

   (1/24 + 1/4) : (3 3/4 - 2 7/8) * (9/23 + 2 * 7/23)

2. Next, add the fractions inside the first set of parentheses:

   (1/24 + 6/24) : (3 3/4 - 2 7/8) * (9/23 + 14/23)

   (7/24) : (3 3/4 - 2 7/8) * (23/23)

3. Now, let's subtract the mixed numbers inside the second set of parentheses. First, convert them to improper fractions:

   3 3/4 = (4 * 3 + 3) / 4 = 15/4 2 7/8 = (8 * 2 + 7) / 8 = 23/8

   So, the expression becomes:

   (7/24) : (15/4 - 23/8) * (23/23)

4. Simplify the subtraction inside the second set of parentheses:

   (7/24) : (15/4 - 23/8) * (23/23)

   (7/24) : (30/8 - 23/8) * (23/23)

   (7/24) : (7/8) * (23/23)

5. Now, simplify the division and multiplication:

   (7/24) / (7/8) * 1

   To divide fractions, multiply by the reciprocal of the divisor:

   (7/24) * (8/7) * 1

6. Now, multiply the fractions:

   (7/24) * (8/7) = (7 * 8) / (24 * 7) = 56/168

7. Simplify the fraction:

   56/168 = 1/3

So, the final result is 1/3.