Question

3/5÷9/10-3/5×8/9= Подскажите пожалуйста ответ и решение

Answer 1

3/5÷9/10-3/5×8/9=2/3-8/15=10/15-8/15=2/15
1)3/5÷9/10=3/5×10/9=2/3
2)3/5×8/9=8/15

Answer 2

Calculation of the Expression

To solve the given expression 3/5 ÷ 9/10 - 3/5 × 8/9, we can follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, let's convert the division into multiplication by taking the reciprocal of the divisor: - 3/5 ÷ 9/10 becomes 3/5 × 10/9

Now, we can perform the calculations step by step: - 3/5 × 10/9 - 3/5 × 8/9

Step 1: Multiplication

- 3/5 × 10/9 equals 30/45 or 2/3 - 3/5 × 8/9 equals 24/45 or 8/15

Step 2: Subtraction

- 2/3 - 8/15

Step 3: Common Denominator

To subtract the fractions, we need to find a common denominator. The least common multiple of 3 and 15 is 15.

Step 4: Subtraction (Continued)

- 2/3 - 8/15 can be rewritten as 10/15 - 8/15 which equals 2/15

Therefore, the result of the expression 3/5 ÷ 9/10 - 3/5 × 8/9 is 2/15.

Final Answer

So, the answer to the given expression is 2/15.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.