Question

(3 3/4+3 5/6):(5 3/4-3 2/3)​

Answer 1

Ответ: 3 16/25

Пошаговое объяснение:) удачи в учёбе)

(3 3/4+3 5/6):(5 3/4-3 2/3) = 3 16/25

1) 3 3/4⁽³ + 3 5/6⁽² = 3 9/12 + 3 10/12 = 6 19/12 = 7 7/12

2) 5 3/4⁽³ - 3 2/3⁽⁴ = 5 9/12 - 3 8/12 = 2 1/12

3) 7 7/12 : 2 1/12 = 91/12 * 12/25 = 91/25 = 3 16/25

Answer 2

To simplify the expression (3 3/4 + 3 5/6) / (5 3/4 - 3 2/3), follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• 3 3/4 = 15/4
• 3 5/6 = 23/6
• 5 3/4 = 23/4
• 3 2/3 = 11/3

Now, the expression becomes (15/4 + 23/6) / (23/4 - 11/3).

Step 2: Find a common denominator for the fractions in the numerator and denominator. The least common denominator (LCD) for 4 and 6 is 12. So, rewrite the fractions with a common denominator of 12.

(15/4) * (3/3) = 45/12 (23/6) * (2/2) = 46/12 (23/4) * (3/3) = 69/12 (11/3) * (4/4) = 44/12

Now, the expression becomes (45/12 + 46/12) / (69/12 - 44/12).

Step 3: Perform the operations within the parentheses. (45/12 + 46/12) = 91/12 (69/12 - 44/12) = 25/12

Now, the expression simplifies to 91/12 divided by 25/12.

Step 4: Divide the fractions. (91/12) / (25/12) = (91/12) * (12/25)

The 12s in the numerator and denominator cancel out, leaving:

91/25

So, the simplified result of the expression (3 3/4 + 3 5/6) / (5 3/4 - 3 2/3) is 91/25.