Question

2/3+(1/7+х)=5/6+1/12? ​

Answer 1

Відповідь:

Покрокове пояснення:

Answer 2

Ответ: ниже на скриншотах.

Answer 3

To solve for the value of x in the equation:

2/3 + (1/7 + x) = 5/6 + 1/12

You can follow these steps:

Step 1: First, simplify the right side of the equation:

5/6 + 1/12 = 10/12 + 1/12 = 11/12

Now, your equation looks like this:

2/3 + (1/7 + x) = 11/12

Step 2: To isolate the term containing x, subtract 2/3 from both sides of the equation:

(2/3 + (1/7 + x)) - 2/3 = 11/12 - 2/3

This simplifies to:

1/7 + x = 11/12 - 2/3

Step 3: To subtract the fractions on the right side, you need a common denominator, which is 12:

1/7 + x = (11/12 * 4/4) - (2/3 * 4/4) 1/7 + x = (44/48) - (8/12)

Now, both fractions have a common denominator of 48:

1/7 + x = (44/48) - (32/48)

Step 4: Subtract the fractions on the right side:

1/7 + x = (44 - 32)/48 1/7 + x = 12/48

Step 5: Simplify the fraction on the right side:

1/7 + x = 1/4

Step 6: To isolate x, subtract 1/7 from both sides of the equation:

x = 1/4 - 1/7

To subtract these fractions, find a common denominator, which is 28:

x = (7/28) - (4/28)

Now, subtract the fractions:

x = (7 - 4)/28 x = 3/28

So, the solution to the equation is:

x = 3/28