Question

10-(38/12+2/3)-17/21

Answer 1

Ответ:вот

Пошаговое объяснение:

Answer 2

To solve the expression 10 - (38/12 + 2/3) - 17/21, you should follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) to get the correct result.

1. First, simplify the expressions within the parentheses: 38/12 = 19/6 2/3 = 2/3

2. Add the two fractions: 19/6 + 2/3

To add these fractions, you need to find a common denominator. In this case, the common denominator is 6.

(19/6) + (2/3) = (19/6) + (4/6)

Now that the fractions have the same denominator, you can add the numerators:

(19 + 4) / 6 = 23/6

So, the expression becomes:

10 - (23/6) - 17/21

3. Now, subtract the fractions:

(23/6) - (17/21)

To subtract these fractions, you need to find a common denominator, which in this case is 42. So, we'll adjust the fractions accordingly:

(23/6) - (17/21) = (23/6) - (2/3)

To make the denominators the same, multiply the second fraction by 14/14 (which is equivalent to 1) to make it 42 in the denominator:

(23/6) - (17/21) = (23/6) - (17/21) * (14/14)

Now, both fractions have a common denominator of 42:

(23/6) - (238/42)

4. Subtract the fractions:

To subtract, you need a common denominator, which is 42:

(23/6) - (238/42) = (161/42) - (238/42)

Now that the denominators are the same, you can subtract the numerators:

(161 - 238) / 42 = -77/42

5. Finally, subtract the result from 10:

10 - (-77/42)

To subtract a negative fraction, you can treat it as addition:

10 + (77/42)

To add these fractions, you'll need a common denominator, which is 42:

(420/42) + (77/42) = (420 + 77) / 42 = 497/42

Now, simplify the fraction:

497/42 = 23.5952 (rounded to four decimal places)

So, the final result is approximately 23.5952.