Question

-(-3/14 + 1/3) - (-0,24 - 0,76) - 1 11/21

Answer 1

Ответ:

-29/42

Пошаговое объяснение:

-(-3/14 + 1/3) - (-0,24 - 0,76) - 1 11/21

раскрываем обе скобки

3/14 - 1/3 + 0,24 + 0,76 - 1 11/21

вычитаем из 3/14 1/3,для этого приведём дроби к общему знаменателю 42

3/14 = 9/42

1/3 = 14/42

получаем

9/42 - 14/42 = -5/42

-5/42 + 0,24 + 0,76 - 1 11/21

далее складываем 0,24 и 0,76

0,24 + 0,76 = 1

получаем

-5/42 + 1 - 1 11/21

приведём все числа к общему знаменателю 42

-5/42 = -5/42

1 = 42/42

- 1 11/21 = - 33/21

получаем

-5/42 + 42/42 - 33/21 = -29/42

Answer 2

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

1. Begin by simplifying the fractions: -3/14 + 1/3 = (-9/42) + (14/42) = 5/42

2. Simplify the decimal subtraction: -0.24 - 0.76 = -1

3. Rewrite the mixed number as an improper fraction: 1 11/21 = (21 * 1 + 11)/21 = 32/21

Now, let's substitute the simplified values back into the expression:

-(-3/14 + 1/3) - (-0.24 - 0.76) - 1 11/21

= -5/42 - (-1) - 32/21

= -5/42 + 1 - 32/21

Next, we need to find a common denominator for the fractions, which is 42:

= -5/42 + 42/42 - 64/42

Now, we can add the fractions:

= (-5 + 42 - 64)/42

= -27/42

Finally, we can simplify the fraction:

= -9/14

Therefore, the result of the expression -(-3/14 + 1/3) - (-0.24 - 0.76) - 1 11/21 is -9/14.