Question

А)1-(4/9+1/12) б)1-(3/8-1/12) в)8/9-(1/12+5/18) пж помогите​

Answer 1

$a) \: - ( \frac{4}{9} + \frac{1}{12}) = - \frac{16}{36} - \frac{3}{36 } = - \frac{19}{36}$

$b) \: 1 - ( \frac{3}{8} - \frac{1}{12}) = 1 - ( \frac{9}{24} - \frac{2}{24} ) = \\ \\ = 1 - \frac{7}{24} = \frac{24}{24} - \frac{7}{24} = \frac{17}{24}$

$c) \: \frac{8}{9} - ( \frac{1}{12} + \frac{5}{18} ) = \frac{32}{36} - ( \frac{3}{36} + \frac{10}{36} ) \\ \\ = \frac{32}{36} - \frac{13}{36} = \frac{19}{36}$

Answer 2

Calculation A: 1 - (4/9 + 1/12)

To solve this calculation, we need to simplify the expression inside the parentheses first and then subtract it from 1.

The expression inside the parentheses is (4/9 + 1/12). To add these fractions, we need to find a common denominator. The least common multiple of 9 and 12 is 36.

Converting the fractions to have a denominator of 36, we get: - 4/9 = 16/36 - 1/12 = 3/36

Adding these fractions, we get: 16/36 + 3/36 = 19/36

Now, subtracting this sum from 1: 1 - 19/36 = 17/36

Therefore, the result of calculation A is 17/36.

Calculation B: 1 - (3/8 - 1/12)

Similar to the previous calculation, we need to simplify the expression inside the parentheses first and then subtract it from 1.

The expression inside the parentheses is (3/8 - 1/12). To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 12 is 24.

Converting the fractions to have a denominator of 24, we get: - 3/8 = 9/24 - 1/12 = 2/24

Subtracting these fractions, we get: 9/24 - 2/24 = 7/24

Now, subtracting this difference from 1: 1 - 7/24 = 17/24

Therefore, the result of calculation B is 17/24.

Calculation C: 8/9 - (1/12 + 5/18)

Again, we need to simplify the expression inside the parentheses first and then subtract it from 8/9.

The expression inside the parentheses is (1/12 + 5/18). To add these fractions, we need to find a common denominator. The least common multiple of 12 and 18 is 36.

Converting the fractions to have a denominator of 36, we get: - 1/12 = 3/36 - 5/18 = 10/36

Adding these fractions, we get: 3/36 + 10/36 = 13/36

Now, subtracting this sum from 8/9: 8/9 - 13/36

To subtract fractions, we need to find a common denominator. The least common multiple of 9 and 36 is 36.

Converting the fractions to have a denominator of 36, we get: - 8/9 = 32/36

Subtracting these fractions, we get: 32/36 - 13/36 = 19/36

Therefore, the result of calculation C is 19/36.

I hope this helps! Let me know if you have any further questions.