Question

2 17/24:(-5/6+7/8) решите

Answer 1

$2 \frac{17}{24} : (-\frac{5}{6} + \frac{7}{8}) =65$

1)$- \frac{5}{6}+ \frac{7}{8}= \frac{-20+21}{24}= \frac{1}{24}$

2)$2 \frac{17}{24} : \frac{1}{24} = \frac{65*24}{24} =65$

Answer 2

65/24:1/24=65/24*24=65

Answer 3

Problem:

The problem is to evaluate the expression 2 + 17/24 : (-5/6 + 7/8).

Solution:

To solve this expression, 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. Evaluate the expression inside the parentheses: -5/6 + 7/8. - To add or subtract fractions, we need a common denominator. In this case, the common denominator is 24. - Multiply the numerator and denominator of the first fraction (-5/6) by 4 to get a denominator of 24: (-5 * 4) / (6 * 4) = -20/24. - Multiply the numerator and denominator of the second fraction (7/8) by 3 to get a denominator of 24: (7 * 3) / (8 * 3) = 21/24. - Now we can add the fractions: -20/24 + 21/24 = 1/24.

2. Now that we have simplified the expression inside the parentheses, we can evaluate the division: 17/24 : 1/24. - When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. - The reciprocal of 1/24 is 24/1. - Multiply the fractions: (17/24) * (24/1) = 17/1 = 17.

3. Finally, we can add the result of the division to 2: 2 + 17 = 19.

Therefore, the value of the expression 2 + 17/24 : (-5/6 + 7/8) is 19.

Please let me know if you have any further questions!