Question

Найди значение выражения 1/4 - (1-11/12)=2-(13-5/22)=

Answer 1

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Answer 2

To find the value of the expressions, let's simplify them step by step:

1. 1/4 - (1 - 11/12):

First, simplify the expression inside the parentheses: 1 - 11/12 = 1/12.

Now, the expression becomes: 1/4 - 1/12.

To subtract fractions, we need a common denominator. The common denominator of 4 and 12 is 12. So, rewrite both fractions with a denominator of 12:

(1/4) * (3/3) = 3/12 (1/12)

Now, subtract the fractions:

3/12 - 1/12 = 2/12.

2/12 can be further simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:

2/12 = 1/6.

So, the value of the first expression is 1/6.

2. 2 - (13 - 5/22):

First, simplify the expression inside the parentheses: 13 - 5/22.

Now, the expression becomes: 2 - (13 - 5/22).

To subtract fractions, we need a common denominator. The common denominator of 1 and 22 is 22. So, rewrite both the whole number 2 and the fraction 5/22 with a denominator of 22:

(2) * (22/22) = 44/22 (13 * 22/22) - 5/22 = 287/22 - 5/22.

Now, subtract the fractions:

287/22 - 5/22 = (287 - 5)/22 = 282/22.

282/22 can be further simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:

282/22 = 141/11.

So, the value of the second expression is 141/11.

Final values: 1/4 - (1 - 11/12) = 1/6 2 - (13 - 5/22) = 141/11