Question

1 31/35 : ( 2 - 8/9 : 1 19/45) = ПЖ 100 БАЛООООВ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Ответ:

1 13/35

Пошаговое объяснение:

1) 8/9 : 1 19/45 = 8/9 : 64/45 = 8/9 * 45/64 = 1/1 * 5/8 = 5/8

2) 2 - 5/8 = 1 8/8 - 5/8 = 1 3/8

3) 1 31/35 : 1 3/8 = 66/35 : 11/8 = 66/35 * 8/11 = 6/35 * 8/1 = 48/35 = 1 13/35

Answer 2

Ответ:

1 13/35

Пошаговое объяснение:

переводим смешанные числа в неправильные дроби:

$\displaystyle1 \frac{31}{35} = \frac{35 \times 1 + 31}{35} = \frac{66}{35} \\ 1 \frac{19}{45} = \frac{45 \times 1 + 19}{45} = \frac{64}{45}$

Первое действие то, что в скобках:

1)

$\displaystyle1) \: \frac{8}{9} \div 1 \frac{19}{45} = \frac{8}{9} \div \frac{64}{45} = \frac{8}{9} \times \frac{45}{64} = \frac{5}{8}$

деление заменили умножением, дробь, на которую делили, "переворачиваем".

Общий знаменатель 8, тогда:

$2) \: \: 2 - \dfrac{5}{8} = \dfrac{16 - 5}{8} = \dfrac{11}{8}$

дальше:

$\displaystyle1 \frac{31}{35} \div \frac{11}{8} = \frac{66}{35} \div \frac{11}{8} = \frac{66}{35} \times \frac{8}{11} = \frac{6}{35} \times 8 = \frac{48}{35} = 1 \frac{13}{35} .$

Answer 3

To solve the given expression, let's break it down step by step:

1. First, let's simplify the expression inside the parentheses: 2 - 8/9 = 18/9 - 8/9 = 10/9.

2. Now, let's simplify the expression after the colon: 1 19/45. To convert the mixed number to an improper fraction, we multiply the whole number (1) by the denominator (45) and add the numerator (19). This gives us (1 * 45) + 19 = 64. So, 1 19/45 is equivalent to 64/45.

3. Now, let's substitute the simplified expressions back into the original expression: 1 31/35 : (10/9 : 64/45).

4. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, we have 10/9 * (45/64).

5. Simplifying the multiplication of fractions, we multiply the numerators together and the denominators together: (10 * 45) / (9 * 64) = 450/576.

6. To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 18. Dividing both the numerator and denominator by 18, we get: 450/576 = (450 ÷ 18) / (576 ÷ 18) = 25/32.

So, the final result is 25/32. It is not clear what you mean by "ПЖ 100 БАЛООООВ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!", but the numerical result of the expression is 25/32.