Question

-29/15+14/27•2 4/7+2:3 1/7

Answer 1

Ответ:

Пошаговое объяснение:

1) 14/27 * 2. 4/7 =

14/27 * 18/7 = 2/3 * 2/1 =

4/3 = 1. 1/3

2) 2 : 3. 1/7 = 2 : 22/7 =

2 * 7/22 = 1 * 7/11 = 7/11

3) -29/15 + 1. 1/3 =

-1. 14/15 + 1. 5/15 = -9/15 =

-3/5

4) -3/5 + 7/11 =

-33/55 + 35/55 = 2/55

Ответ: 2/55

Answer 2

To solve the given expression, we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Let's break down the expression step by step:

1. -29/15 + (14/27) * 2: First, we calculate the multiplication: (14/27) * 2 = 28/27

   Now, we can perform the addition and subtraction: -29/15 + 28/27

   To add or subtract fractions, we need to find a common denominator. The common denominator for 15 and 27 is 135.

   (-29/15) * (9/9) = -261/135 (28/27) * (5/5) = 140/135

   Now, we can add the fractions: -261/135 + 140/135 = (-261 + 140) / 135 = -121/135

2. (4/7) + 2 : (3 1/7): First, we simplify the mixed number: 3 1/7 = 3 + 1/7 = 21/7 + 1/7 = 22/7

   Now, we can perform the division and addition: 2 : (22/7)

   To divide by a fraction, we multiply by its reciprocal: 2 * (7/22) = 14/22 = 7/11

   Finally, we can add the fractions: (4/7) + (7/11)

   To add fractions, we need to find a common denominator. The common denominator for 7 and 11 is 77.

   (4/7) * (11/11) = 44/77 (7/11) * (7/7) = 49/77

   Now, we can add the fractions: 44/77 + 49/77 = (44 + 49) / 77 = 93/77

Therefore, the final result is: -29/15 + (14/27) * 2 = -121/135 (4/7) + 2 : (3 1/7) = 93/77