
2ц 1 /3 -(1ц 5/7-2/3)=x-3ц 5/7


Ответы на вопрос

Ответ: х=5, см фото.
Пошаговое объяснение:




To solve the equation:
2ц 1/3 - (1ц 5/7 - 2/3) = x - 3ц 5/7
We'll start by simplifying each term step by step.
First, simplify the expression inside the parentheses:
1ц 5/7 - 2/3
To subtract these mixed numbers, you'll need a common denominator. In this case, the common denominator is 21 (7 * 3). Now, convert 1ц 5/7 and 2/3 to fractions with a denominator of 21:
1ц 5/7 = (1 * 21 + 5)/7 * 21 = (21 + 5 * 3)/21 = (21 + 15)/21 = 36/21 2/3 = (2 * 7)/3 * 7 = 14/21
Now, subtract:
36/21 - 14/21 = (36 - 14)/21 = 22/21
Now, the equation becomes:
2ц 1/3 - (22/21) = x - 3ц 5/7
Next, simplify the left side of the equation:
To subtract 22/21 from 2ц 1/3, you'll need a common denominator. The common denominator is 3 * 21 = 63.
2ц 1/3 = (2 * 21 + 1)/3 * 21 = (42 + 1)/63 = 43/63
So, the equation becomes:
43/63 - 22/21 = x - 3ц 5/7
Now, subtract:
(43/63) - (22/21) = (43/63) - (88/63) = (43 - 88)/63 = -45/63
Simplify -45/63 by dividing both the numerator and denominator by their greatest common divisor, which is 9:
-45/63 = (-45 ÷ 9) / (63 ÷ 9) = -5/7
So, the equation now becomes:
-5/7 = x - 3ц 5/7
To solve for x, add 3ц 5/7 to both sides of the equation:
x = -5/7 + 3ц 5/7
To add these mixed numbers, you'll need a common denominator. The common denominator is 7.
-5/7 + 3ц 5/7 = (-5 + 3ц 5)/7
Now, you have:
x = (-5 + 3ц 5)/7
You can leave the answer in this form, or you can simplify it further by adding -5 and 3ц 5:
x = (3ц 5 - 5)/7


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