Question

(9/14-(5/21)):(-2 9/14)

Answer 1

Ответ:

Пошаговое объяснение:

1) 9/14 - 5/21 = 27/42 - 10/42 = 17/42

2) 17/42 : (-2. 9/14) =

17/42 : (-37/14) = 17/42 *(-14/37) = 17/3 * (-1/37) = -17/117

Answer 2

9/14+5/21=27/42+10/42=37/42
37/42:2 9/14=37/42*14/37=1/3

Answer 3

To simplify the given expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, you need to perform the division first:

(9/14 - 5/21) / (-2 9/14)

To simplify the fractions in the numerator:

First, find a common denominator for 14 and 21, which is 42. Then, rewrite the fractions with the common denominator:

(27/42 - 10/42) / (-2 9/14)

Now, subtract the fractions in the numerator:

(27/42 - 10/42) = 17/42

Now the expression is:

(17/42) / (-2 9/14)

Now, divide the fractions:

(17/42) ÷ (-2 9/14)

To divide by a mixed number, you can convert it to an improper fraction:

-2 9/14 = -2 + 9/14 = (-28/14) + 9/14 = (-28 + 9)/14 = -19/14

Now, the expression becomes:

(17/42) / (-19/14)

To divide by a fraction, you can multiply by its reciprocal:

(17/42) * (-14/19)

Now, multiply the fractions:

(17 * -14) / (42 * 19)

-238 / 798

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14:

-238 ÷ 14 = -17 798 ÷ 14 = 57

So, the simplified result is:

-17/57