Question

18 19/24-(x- 6 11/12=9 11/16​

Answer 1

Ответ:

х = 16 1/48.

Пошаговое объяснение:

18 19/24-(x- 6 11/12)=9 11/16​

18 19/24 -х + 6 11/12 = 9 11/16

24 41/24 - х = 9 11/16

х = 24 41/24 - 9 11/16

х = 15 (82-33)/48

х = 15 49/48

х = 16 1/48.

Answer 2

To solve the equation, let's simplify the expressions first.

First, let's convert the mixed numbers into improper fractions:

18 19/24 = (24 * 18 + 19) / 24 = 451/24

6 11/12 = (12 * 6 + 11) / 12 = 83/12

9 11/16 = (16 * 9 + 11) / 16 = 155/16

Now, substitute the values back into the equation:

451/24 - (83/12) = 155/16

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 24, 12, and 16 is 48.

Now, let's convert the fractions to have a denominator of 48:

451/24 = (451 * 2) / (24 * 2) = 902/48

83/12 = (83 * 4) / (12 * 4) = 332/48

155/16 = (155 * 3) / (16 * 3) = 465/48

Substituting the new fractions into the equation:

902/48 - (332/48) = 465/48

Now, we can subtract the fractions:

(902 - 332) / 48 = 465/48

Simplifying the numerator:

570/48 = 465/48

The equation simplifies to:

465/48 = 465/48

Therefore, the solution to the equation is x = any real number.