Question

10 7/15-(3-1 7/9) :7/15+3/9​

Answer 1

Ответ:
859/105

Объяснение:
157/15-(3-16/9)*15/7+3/9=157/15-11/9*15/7+3/9=157/15-11/3*5/7+3/9=157/15-55/21+3/9=859/105

Answer 2

Решение в прикреплённом файле.

Answer 3

To simplify the given expression, let's break it down step by step:

1. Start with the expression inside the first set of parentheses: 3 - 1 7/9 = 3 - (1 + 7/9)

   To subtract a mixed number, you need to make sure the fractions have the same denominator: 3 - (9/9 + 7/9) = 3 - 16/9

   Now, subtract the fractions: 3 - 16/9 = 27/9 - 16/9 = (27 - 16)/9 = 11/9

2. Substitute the result back into the original expression: 10 7/15 - 11/9 : 7/15 + 3/9

3. Now, let's work with the division (:) symbol. To divide by a fraction, you can multiply by its reciprocal: 10 7/15 - 11/9 : 7/15 + 3/9 = 10 7/15 - 11/9 * 15/7 + 3/9

4. Calculate the multiplication in the denominator: 11/9 * 15/7 = (11 * 15) / (9 * 7) = 165/63

5. Simplify the fractions: 165/63 = 55/21

6. Substitute the result back into the expression: 10 7/15 - 55/21 + 3/9

7. Now, we need to find a common denominator for the fractions. The common denominator for 15, 21, and 9 is 315. Rewrite the fractions with this common denominator:

   • 10 * 21/21 + 7 * 21/15 - 55 * 15/21 + 3 * 35/9

8. Calculate the numerators:

   • 210/315 + 147/315 - 825/315 + 105/315

9. Now, add or subtract the fractions: (-210 + 147 - 825 + 105) / 315

10. Perform the arithmetic in the numerator: -783 / 315

11. Simplify the fraction if possible. The greatest common divisor of 783 and 315 is 21: (-783 / 21) / (315 / 21)

12. Divide both the numerator and denominator by 21: -37/15

So, the simplified expression is -37/15.