Question

(1/6 + 1/10 + 1/15) : (1/6 + 1/30) ------------------------------------------- (1/6 + 1/4 - 1/5) : (1/4 - 1/6) Решите пожалуйста по действиям.

Answer 1

(10/60+6/60+4/60):(5/30+1/30)
-------------------------------------------- =
(10/60+15/60-12/60):(3/12-2/12)

1/3:1/6
--------------- =
13/60:1/12

   2
--------  = 10/13
13/5

Answer 2

Calculations

To solve the given expression, we can follow these steps:

1. Add the fractions in the numerator: - \( \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{5}{30} + \frac{3}{30} + \frac{2}{30} = \frac{10}{30} = \frac{1}{3} \)

2. Add the fractions in the denominator: - \( \frac{1}{6} + \frac{1}{4} - \frac{1}{5} = \frac{5}{30} + \frac{7}{30} - \frac{6}{30} = \frac{6}{30} = \frac{1}{5} \)

3. Divide the result from step 1 by the result from step 2: - \( \frac{1}{3} \div \frac{1}{5} = \frac{1}{3} \times \frac{5}{1} = \frac{5}{3} \)

So, the result of the given expression is 5/3.