Question

1 7/12-(44/45-(x+5/18))=1 13/60

Answer 1

Відповідь/Ответ: 1/3

Пояснення/Объяснение: на фото.

Answer 2

Let's first simplify the equation by performing the operations in the parentheses.

1 + 7/12 - (44/45 - (x + 5/18)) = 1 + 13/60

To simplify the expression within the parentheses:

44/45 - (x + 5/18)

We can combine the terms within the parentheses:

[(44/45) - x] - 5/18

Now, we can substitute this simplified expression back into the original equation:

1 + 7/12 - [(44/45) - x] - 5/18 = 1 + 13/60

Next, we need to find a common denominator for the fractions involved. The least common multiple of 12, 45, and 18 is 180. We can multiply each term by 180 to eliminate the fractions:

180(1) + 180(7/12) - 180[(44/45) - x] - 180(5/18) = 180(1) + 180(13/60)

180 + 105 - 180(44/45) + 180x + 50 = 180 + 39

Now, let's simplify further:

285 - (180 * 44)/45 + 180x + 50 = 219

To get rid of the fraction, we can multiply the denominator (45) by each term inside the parentheses:

45 * 285 - (180 * 44) + 45 * 180x + 45 * 50 = 45 * 219

12825 - 3960 + 8100x + 2250 = 9855

Combine like terms:

-3960 + 12825 + 2250 + 8100x = 9855

12825 - 3960 + 2250 + 8100x = 9855

8880 + 8100x = 9855

Subtract 8880 from both sides:

8100x = 9855 - 8880

8100x = 9765

Finally, divide both sides by 8100 to solve for x:

x = 9765 / 8100

x = 1.20625

So the solution for x is 1.20625.