Question

Вычислите 8/9-3/8÷27/28 помогите опять!пооожалуйста,с решением​

Answer 1

Пошаговое объяснение:

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Answer 2

To solve the expression 8/9 - 3/8 ÷ 27/28, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. First, we need to simplify the division 3/8 ÷ 27/28. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have:

(3/8) ÷ (27/28) = (3/8) * (28/27)

To multiply fractions, we multiply the numerators together and the denominators together. Therefore:

(3/8) * (28/27) = (3 * 28) / (8 * 27) = 84/216

The fraction 84/216 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12. So:

84/216 = (84 ÷ 12) / (216 ÷ 12) = 7/18

Therefore, the expression becomes:

8/9 - 7/18

2. Now, we need to find a common denominator to subtract the fractions. The least common multiple (LCM) of 9 and 18 is 18. So, we rewrite the fractions with a common denominator of 18:

8/9 - 7/18 = (8 * 2) / (9 * 2) - 7/18 = 16/18 - 7/18

3. Finally, we subtract the fractions:

16/18 - 7/18 = (16 - 7) / 18 = 9/18

The fraction 9/18 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9. So:

9/18 = (9 ÷ 9) / (18 ÷ 9) = 1/2

Therefore, the value of the expression 8/9 - 3/8 ÷ 27/28 is 1/2.

I hope this helps! Let me know if you have any further questions.