Question

5/6:2/3-1/4Решите, плиз❤️

Answer 1

To solve the expression 5/6 ÷ 2/3 - 1/4, we can 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. Division: - 5/6 ÷ 2/3 can be rewritten as (5/6) * (3/2) since dividing by a fraction is the same as multiplying by its reciprocal. - Multiplying the numerators (5 * 3) gives us 15, and multiplying the denominators (6 * 2) gives us 12. - So, (5/6) ÷ (2/3) is equal to (15/12).

2. Subtraction: - Subtracting 1/4 from (15/12) can be done by finding a common denominator for both fractions. - The common denominator for 12 and 4 is 12. - Multiplying the numerator and denominator of 1/4 by 3 gives us 3/12. - So, (15/12) - (1/4) is equal to (15/12) - (3/12).

3. Simplification: - Since the denominators are the same, we can subtract the numerators directly. - Subtracting 3 from 15 gives us 12. - So, (15/12) - (3/12) is equal to 12/12.

4. Final Result: - The fraction 12/12 is equal to 1. - Therefore, the solution to the expression 5/6 ÷ 2/3 - 1/4 is 1.

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