Question

(7/15 + 3/10) * 2 14/23 + 1 6/57 : ( 30/57 - 3/19)

Answer 1

Ответ: решение смотри на фотографии

Пошаговое объяснение:

Answer 2

To solve the given expression step by step, let's follow the order of operations: parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right).

1. Solve inside the parentheses: $\frac{7}{15} + \frac{3}{10} = \frac{14}{30} + \frac{9}{30} = \frac{23}{30}$

2. Multiply by 2: $\frac{23}{30} \times 2 = \frac{46}{30} = \frac{23}{15}$

3. Solve the next part of the expression: $\frac{14}{23} + \frac{1}{6} \times \frac{6}{57}$

   $\frac{14}{23} + \frac{1}{57}$

4. Subtract inside the parentheses: $\frac{30}{57} - \frac{3}{19} = \frac{20}{38} - \frac{9}{38} = \frac{11}{38}$

5. Continue solving the expression: $\frac{14}{23} + \frac{1}{57} : \frac{11}{38}$

   To divide by a fraction, we can multiply by its reciprocal: $\frac{14}{23} + \frac{1}{57} \times \frac{38}{11}$

   $\frac{14}{23} + \frac{38}{627}$

6. Find a common denominator and add the fractions: $\frac{14 \times 27}{23 \times 27} + \frac{38}{627}$

   $\frac{378}{621} + \frac{38}{627}$

   Now, let's find a common denominator to add the fractions.

   $\frac{378 \times 627}{621 \times 627} + \frac{38 \times 621}{627 \times 621}$

   $\frac{237066}{388467} + \frac{23598}{388467}$

   $\frac{260664}{388467}$

7. Finally, simplify the fraction: $\frac{260664}{388467}$ doesn't simplify further.

So, the final result of the given expression is approximately $\frac{260664}{388467}$.