Question

1)x + 5/12 = 2/3 - 5/242)2/3-(5/6-х) =1/12​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve each of these equations step by step.

1. x + 5/12 = 2/3 - 5/24

To solve this equation, we'll start by isolating x on one side of the equation.

First, we can simplify the right side of the equation:

2/3 - 5/24 = 16/24 - 5/24 = (16 - 5)/24 = 11/24

So, the equation becomes:

x + 5/12 = 11/24

Now, let's get rid of the 5/12 on the left side by subtracting it from both sides:

x + 5/12 - 5/12 = 11/24 - 5/12

x = (11/24 - 5/12)

To subtract these fractions, we need a common denominator, which is 24. So, we'll convert 5/12 to its equivalent with a denominator of 24:

x = (11/24 - 10/24)

Now, subtract the numerators:

x = (1/24)

So, the solution to the first equation is:

x = 1/24

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2. 2/3 - (5/6 - x) = 1/12

To solve this equation, we'll first simplify the left side:

2/3 - 5/6 + x = 1/12

Now, let's find a common denominator for 3 and 6, which is 6:

(4/6) - (5/6) + x = 1/12

Now, subtract the fractions on the left side:

(4/6 - 5/6) + x = 1/12

(-1/6) + x = 1/12

To isolate x, add 1/6 to both sides of the equation:

(-1/6) + x + 1/6 = 1/12 + 1/6

x = 1/12 + 2/12

x = 3/12

Now, simplify x:

x = 1/4

So, the solution to the second equation is:

x = 1/4