Question

(3 1/4 + 3 5/6):(5 3/4 -3 2/3)​

Answer 1

Ответ:

Пошаговое объяснение:

3 1/4=13/4

3 5/6=23/6

39/12+46/12=85/12

5 3/4=23/4

3 2/3=11/3

69/12+44/12=113/12

85/12 : 113/12=85/113

Answer 2

To solve the expression (3 1/4 + 3 5/6) ÷ (5 3/4 - 3 2/3), we'll follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the operations inside the brackets. Step 3: Perform the division.

Let's start with Step 1:

Step 1: Convert mixed numbers to improper fractions 3 1/4 = (4 * 3 + 1) / 4 = 13/4 3 5/6 = (6 * 3 + 5) / 6 = 23/6 5 3/4 = (4 * 5 + 3) / 4 = 23/4 3 2/3 = (3 * 3 + 2) / 3 = 11/3

Step 2: Perform the operations inside the brackets (13/4 + 23/6) ÷ (23/4 - 11/3)

Step 3: Perform the division To divide fractions, we can multiply by the reciprocal of the divisor.

Divide: (13/4 + 23/6) ÷ (23/4 - 11/3) This is equivalent to: (13/4 + 23/6) * (3/11 - 4/23)

Now, let's find a common denominator for both fractions inside the brackets, which is the product of the two denominators, i.e., 4 * 6 = 24:

(13/4 + 23/6) * (3/11 - 4/23) = [(13/4) * (6/6) + (23/6) * (4/4)] * [(3/11) * (12/12) - (4/23) * (12/12)] = [(78/24) + (92/24)] * [(36/132) - (48/276)] = (170/24) * [(36/132) - (48/276)]

Now, let's subtract the fractions inside the brackets:

= (170/24) * [(99/264) - (96/276)] = (170/24) * [(99/264) - (88/276)]

To subtract fractions, we again need a common denominator, which is 264 * 276:

= (170/24) * [((99 * 276) - (88 * 264)) / (264 * 276)] = (170/24) * [(27324 - 23232) / (264 * 276)] = (170/24) * (4092 / (264 * 276)) = (170/24) * (4092 / 72704) = 32.671875

So, the result of the expression (3 1/4 + 3 5/6) ÷ (5 3/4 - 3 2/3) is approximately 32.67 (rounded to two decimal places).