Question

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

Answer 1

Переписываю
$(x + 4 \frac{11}{12} ) - 9 \frac{8}{15} = \frac{11}{20}$
раскрываю скобки
$x + 4 \frac{11}{12} - 9 \frac{8}{15} = \frac{11}{20}$
переносим числа в право
$x = \frac{11}{20} - 4 \frac{11}{12} + 9 \frac{8}{15}$
делаем из чисел неправильные дроби
$x = \frac{11}{20} - \frac{59}{12} + \frac{143}{15}$
приводим к общему знаменателю
$x = \frac{33 - 295 + 572}{60}$
$x = \frac{310}{60} = \frac{31}{6} = 5 \frac{1}{6}$

Answer 2

Ответ:

Пошаговое объяснение:

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Answer 3

To solve the equation, we need to combine the terms on the left-hand side and simplify the expression:

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

Step 1: Convert all mixed numbers to improper fractions. 4 11/12 can be written as an improper fraction: (4 * 12 + 11) / 12 = 59/12 9 8/15 can be written as an improper fraction: (9 * 15 + 8) / 15 = 143/15

Step 2: Substitute the improper fractions into the equation: (x + 59/12) - 143/15 = 11/20

Step 3: Find a common denominator for the fractions on the left-hand side, which is 60 (LCM of 12 and 15).

Step 4: Convert both fractions to have a denominator of 60: (x * 5/5) + (59/12 * 5/5) - (143/15 * 4/4) = 11/20 (5x + 295/60) - (572/60) = 11/20

Step 5: Combine like terms: 5x + (295 - 572)/60 = 11/20 5x - 277/60 = 11/20

Step 6: Move the constant term to the right-hand side: 5x = 11/20 + 277/60

Step 7: Find a common denominator for the fractions on the right-hand side, which is 60. 5x = (3 * 11 + 277) / 60 5x = 308 / 60

Step 8: Simplify the right-hand side: 5x = 154 / 30

Step 9: Divide both sides by 5 to solve for x: x = (154 / 30) / 5 x = 154 / 150 x = 77 / 75

So, the value of x that satisfies the equation is x = 77/75.