Question

10 4/15-(х+7 1/10)=2 13/30

Answer 1

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Х=22/30 = 11/15

Answer 2

To solve the equation, we need to isolate the variable, which in this case is "x".

First, let's simplify the left side of the equation by finding a common denominator for the fractions:

10 4/15 - (x + 7 1/10) = 2 13/30

10 8/120 - (x + 7 3/30) = 2 13/30 (converting mixed numbers to improper fractions)

10 8/120 - (x + 7 1/10) = 2 13/30 (simplifying 3/30 to 1/10)

10 2/15 - (x + 7 1/10) = 2 13/30 (simplifying 8/120 to 2/15)

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

2 13/30 = 2 26/60 = 2 13/30 (converting to mixed numbers and simplifying)

Substituting this back into the equation, we get:

10 2/15 - (x + 7 1/10) = 2 13/30

Multiplying both sides by the common denominator of 30, we get:

1030 + 22 - 30(x + 7 1/10) = 2*30 + 13

300 + 4 - 30x - 213/10 = 43/3 (converting mixed numbers to improper fractions)

304 - 30x - 213/10 = 43/3

Multiplying both sides by 30 to eliminate the fraction, we get:

3040 - 900x - 639 = 430

Simplifying, we get:

2911 = 900x

Dividing both sides by 900, we get:

x = 2911/900

Therefore, the solution to the equation is:

x = 3.2344 (rounded to four decimal places)