Question

(1/27+3/108)+101/108-43/50=

Answer 1

Здравствуйте, 5bmw!

Решение данного выражения:

$\Big(\frac{1}{27} + \frac{3}{108}\Big ) + \frac{101}{108} - \frac{43}{50} = 0,14\\ \\ 1\Big) \frac{ {1}^{( \times 4} }{ {27}^{( \times 4} } + \frac{3}{108} = \frac{4}{108} + \frac{3}{108} = \frac{4 + 3}{108} = \frac{7}{108} \\ \\ 2\Big) \frac{7}{108} + \frac{101}{108} = \frac{7 + 101}{108} = \frac{108}{108} = 1 \\ \\ 3\Big)1 - \frac{43}{50} = \frac{50}{50} - \frac{43}{50} = \frac{50 - 43}{50} = \frac{ {7}^{( \times 2} }{ {50}^{( \times 2} } = \frac{14}{100} = 0,14$

Окончательный ответ:

Ответ данного выражения - "0,14"

С Уважением, NeNs07.

Answer 2

To solve the expression, first find a common denominator for all the fractions, then perform the calculations step by step. The common denominator for the fractions involved is 108, so let's rewrite the expression with all the fractions having a denominator of 108:

(1/27) + (3/108) + (101/108) - (43/50)

Now, let's calculate the numerators:

1/27 = 4/108 (by multiplying numerator and denominator by 4) 3/108 = 3/108 101/108 = 101/108 43/50 = (43/50) * (108/108) = 462/108

Now, the expression becomes:

(4/108) + (3/108) + (101/108) - (462/108)

Now, add all the numerators together:

4 + 3 + 101 - 462 = -354

The final result of the expression is -354/108.

To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 354 and 108 is 18, so:

-354/108 = -(354/18) / (108/18) = -19/6

So, the simplified result of the expression is -19/6.