Question

(15, 75 - 1 19/20 + 5, 4(- 3 1/3)) / (2 4/5) + 3 1/15100балов​

Answer 1

Ответ:

63/88

Пошаговое объяснение:

1) 5,4 * (-3 1/3) = 54/10 * (-10/3) = -54/3 = -18

2) 15,75 - 1 19/20 = 15,75 - 1,95 = 13,8

3) 13,8 + (-18) = 13,8 - 18 = -4,2

4) 2 4/5 + 3 1/15 = 2 12/15 + 3 1/15 = 5 13/15

5) -4,2 : 5 13/15 = -42/10 : 88/15 = -42/10 * (-15/88) = -21/2 * (-3/44) = 63/88

Answer 2

Let's break down the expression step by step:

1. Calculate the value inside the parentheses: 75 - 1 19/20 = 75 - (20/20 + 19/20) = 75 - (39/20) = 75 - 1.95 = 73.05 4(- 3 1/3) = 4 * (10/3) = 40/3

2. Combine the values inside the parentheses: 15, 73.05 + 5, 40/3

3. Add the numbers inside the commas: 15 + 73.05 + 5 + 40/3

4. Calculate the sum: 93.05 + 40/3

5. Now, convert the mixed number 2 4/5 to an improper fraction: 2 4/5 = (2 * 5 + 4)/5 = 14/5

6. Finally, divide the result from step 4 by 14/5: (93.05 + 40/3) / (14/5)

To divide by a fraction, you can multiply by its reciprocal: (93.05 + 40/3) * (5/14)

Now, calculate this expression: [(93.05 * 5) + (40/3 * 5)] / 14

(465.25 + 200/3) / 14

To add the fractions and decimals, you need a common denominator: (3 * 465.25 + 200) / (3 * 14)

(1395.75 + 200) / 42

1595.75 / 42

Now, divide: 1595.75 / 42 ≈ 38.04

So, the result of the expression is approximately 38.04.