Question

(x+4 11/12)-9 8/15 =11/20

Answer 1

Ответ:

5 1/6.

Пошаговое объяснение:

(x+4 11/12)-9 8/15 =11/20

x+4 11/12 = 11/20 + 9 8/15

x+4 55/60=33/60+9 32/60

x+4 55/60 = 9 65/60

х = 9 65/60 - 4 55/60

х = 5 10/60

х = 5 1/6.

Проверка:

(5 1/6+4 11/12)-9 8/15 =11/20

(5 2/12+4 11/12)-9 8/15 =11/20

9 13/12 - 9 8/15 = 11/20

9 65/60 - 9 32/60 = 11/20

33/60 = 11/20

11/20 = 11/20 - верно.

Answer 2

Let's solve the given equation step-by-step:

Step 1: Convert the mixed numbers to improper fractions. (x + 4 11/12) can be rewritten as [(12x + 143) / 12]. 9 8/15 can be rewritten as (143 / 15).

Step 2: Subtract the second fraction from the first. [(12x + 143) / 12] - (143 / 15)

Step 3: Find a common denominator for the two fractions, which is the least common multiple (LCM) of 12 and 15, which is 60.

Step 4: Rewrite the fractions with the common denominator (60): [5(12x + 143) / 5 * 12] - [4(143) / 4 * 15]

Step 5: Simplify the fractions: (5(12x + 143) - 4(143)) / 60

Step 6: Distribute and combine like terms: (60x + 715 - 572) / 60

Step 7: Simplify further: (60x + 143) / 60

Now, the equation becomes: (60x + 143) / 60 = 11 / 20

Step 8: To solve for x, cross multiply: 20 * (60x + 143) = 11 * 60

Step 9: Distribute and simplify: 1200x + 2860 = 660

Step 10: Isolate x by moving constants to the other side of the equation: 1200x = 660 - 2860 1200x = -2200

Step 11: Finally, solve for x by dividing both sides by 1200: x = -2200 / 1200

Step 12: Reduce the fraction, if possible: x = -11/6

So, the solution to the equation is: x = -11/6