Question

(0,6 + 2/3) + (–2 1/15). –14,37 – 11,64 – (–23,85 –18,03). –4,9 : (–0,2•0,3 – 0,1). (–15,64:43/5+7,1)•2 2/5. 30 баллов.

Answer 1

Ответ:

1.-4/5

2. 15.87

3. 4 242/1075

Пошаговое объяснение:

1.(0.6+2/3)+(-2 1/15)=3/5+2/3-2 1/15=9/15+10/15-31/15=19/15-31/15= -12/15= -3/4

2.–14,37 – 11,64 – (–23,85 –18,03)= -26. 01+41.88=15.87

3.(–15,64:43/5+7,1)•2 2/5=(-391/25*1/43+71/10)*2 2/5=2271/430 *2 2/5=4542/1075=4 242/1075

Answer 2

Відповідь:

1) - 0,8

2) 15,87

3) 30,625

4) 8,88

Покрокове пояснення:

1)  $(0,6+\frac{2}{3})+(- 2\frac{1}{15})=(\frac{6}{10} +\frac{2}{3})+(- \frac{31}{15})=\frac{3}{5}+\frac{2}{3}- \frac{31}{15}= \frac{3*3}{5*3}+\frac{2*5}{3*5}- \frac{31*1}{15*1}=$

$\frac{9}{15}+\frac{10}{15}- \frac{31}{15}= \frac{9+10-31}{15} =-\frac{12}{15} =-\frac{4}{5}=-0,8$

2) –14,37 – 11,64 – (–23,85 –18,03)=  –14,37 – 11,64 + 23,85 + 18,03=

(23,85 + 18,03) + (–14,37 – 11,64)=(23,85 + 18,03) + (–14,37 +(– 11,64))=

41,88+(–26,01)=  41,88–26,01=15,87

3) –4,9 : (–0,2•0,3 – 0,1).=–4,9 : (–0,06 – 0,1)=–4,9 : (–0,06+( – 0,1))=

–4,9 : (–0,16)=4,9:0,16=490:16=30,625

4) (–15,64:43/5+7,1)•2 2/5.

$(-15,64:4\frac{3}{5} +7,1)*2\frac{2}{5} =(-15,64:4,6+7,1)*2,4=(-3,4+7,1)*2,4=$

$3,7*2,4=8,88$

Answer 3

To solve the given expressions, let's go step by step:

1. (0,6 + 2/3) + (–2 1/15): First, let's convert the mixed number -2 1/15 to an improper fraction. -2 1/15 = -31/15. Now we can add the fractions: 0.6 + 2/3 = 0.6 + 0.(6) = 0.(6) + 2/3 = 0.(6+2)/3 = 8/3. Finally, add the fractions: 8/3 + (-31/15) = (85)/(35) + (-31/15) = 40/15 - 31/15 = 9/15 = 3/5.

2. –14,37 – 11,64 – (–23,85 – 18,03): Remove the parentheses first: –23,85 – 18,03 = -41.88. Now we can subtract: -14.37 - 11.64 - (-41.88) = -14.37 - 11.64 + 41.88 = 16.51.

3. –4,9 : (–0,2•0,3 – 0,1): Evaluate the expression inside the parentheses first: –0.2 * 0.3 - 0.1 = -0.06 - 0.1 = -0.16. Now divide: -4.9 / -0.16 = 30.625.

4. (–15,64:43/5+7,1)•2 2/5: Evaluate the expression inside the parentheses first: -15.64 / (43/5) + 7.1 = -15.64 / (43/5) + 7.1 = -15.64 * (5/43) + 7.1 = -0.727. Now multiply: -0.727 * (2 + 2/5) = -0.727 * (10/5 + 2/5) = -0.727 * (12/5) = -1.9344.

Therefore, the result of the expressions is as follows:

1. (0,6 + 2/3) + (–2 1/15) = 3/5.
2. –14,37 – 11,64 – (–23,85 – 18,03) = 16.51.
3. –4,9 : (–0,2•0,3 – 0,1) = 30.625.
4. (–15,64:43/5+7,1)•2 2/5 = -1.9344.

As for the statement "30 баллов," it appears to be unrelated to the expressions provided. If you have any further questions or need additional assistance, feel free to ask!