Question

1) x-7 1/3 = 12 5/12 2) ( 5 7/9 -x) +2 3/4=3 5/12 ​

Answer 1

Ответ:

Здорово! Вот ответ на твой вопрос.

Answer 2

To solve these equations, we'll work through them one by one:

1. x - 7 1/3 = 12 5/12

First, let's add 7 1/3 to both sides of the equation to isolate x:

x - 7 1/3 + 7 1/3 = 12 5/12 + 7 1/3

x = 12 5/12 + 7 1/3

Now, let's find a common denominator for the fractions on the right side:

x = (123/12) + (5/123) + (74/12) + (1/34)

x = (36/12) + (15/12) + (28/12) + (4/12)

Now, add the fractions on the right side:

x = (36 + 15 + 28 + 4)/12

x = (83/12)

Now, simplify the fraction if possible:

x = 6 11/12

So, the solution to the first equation is x = 6 11/12.

2. (5 7/9 - x) + 2 3/4 = 3 5/12

First, let's subtract 2 3/4 from both sides of the equation to isolate the term (5 7/9 - x):

(5 7/9 - x) + 2 3/4 - 2 3/4 = 3 5/12 - 2 3/4

5 7/9 - x = 3 5/12 - 2 3/4

Now, subtract the fractions and whole numbers separately:

5 7/9 - x = 2 5/12 - 2 3/4

First, find a common denominator for the fractions on the right side:

5 7/9 - x = (24/12) + (5/12) - (23/4) - (3/4)

5 7/9 - x = (8/12) + (5/12) - (6/4) - (3/4)

Now, simplify the fractions:

5 7/9 - x = (13/12) - (6/4)

Now, convert all the fractions to have a common denominator:

5 7/9 - x = (13/12) - (18/12)

Now, subtract the fractions on the right side:

5 7/9 - x = (-5/12)

Now, isolate x by adding x to both sides:

x - 5 7/9 + 5 7/9 = 0 - 5 7/9

x = -5 7/9

So, the solution to the second equation is x = -5 7/9.