Question

1 5/6 - 7 2/9 + 5 2/3 =Срочно ​

Answer 1

Ответ:

$- 3 \frac{7}{18}$

Пошаговое объяснение:

$- 1 \frac{5}{6} - 7 \frac{2}{9} + 5 \frac{2}{3} = - \frac{11}{6} - \frac{65}{9} + \frac{17}{3} = \frac{ - 33 - 130 + 102}{18} = \frac{ - 61}{18} = - \frac{61}{18} = - 3 \frac{7}{18}$

Answer 2

To solve the expression 1 5/6 - 7 2/9 + 5 2/3, we need to convert the mixed numbers into improper fractions and then perform the operations.

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

1 5/6 = (6 * 1 + 5) / 6 = 11/6 7 2/9 = (9 * 7 + 2) / 9 = 65/9 5 2/3 = (3 * 5 + 2) / 3 = 17/3

Now we can substitute these values back into the expression:

11/6 - 65/9 + 17/3

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 18 because it is divisible by 6, 9, and 3.

Now we'll convert each fraction to have a denominator of 18:

11/6 = (11/6) * (3/3) = 33/18 65/9 = (65/9) * (2/2) = 130/18 17/3 = (17/3) * (6/6) = 102/18

Now we can substitute the new fractions into the expression:

33/18 - 130/18 + 102/18

To add or subtract fractions, we only need to focus on the numerators:

33 - 130 + 102 = -95

Therefore, the result of the expression 1 5/6 - 7 2/9 + 5 2/3 is -95/18, or in mixed number form, -5 5/18.