Question

3 9/14 / 2 3/7 х 2/3

Answer 1

3 9/14 = 51/14
2 3/7 = 17/7
2/3 = 2/3
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1 действие - деление
2 действие - умножение
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(1) 51/14 : 17/7 = 51/14 : 7/17 = 3/2
(вторую дробь нужно перевернуть , потом сократить)
(2) 3/2 × 2/3 = 1
(тут нужно просто сократить )
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Ответ - 1

Answer 2

To multiply the given fractions, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Multiply the fractions. Step 3: Simplify the result if necessary.

Let's start with the given expression:

(3 9/14) / (2 3/7) * (2/3)

Step 1: Convert mixed numbers to improper fractions:

3 9/14 = (3 * 14 + 9) / 14 = (42 + 9) / 14 = 51/14

2 3/7 = (2 * 7 + 3) / 7 = (14 + 3) / 7 = 17/7

Step 2: Multiply the fractions:

(51/14) / (17/7) * (2/3)

Now, let's multiply the fractions:

(51/14) * (7/17) * (2/3)

Step 3: Multiply the numerators together and the denominators together:

(51 * 7 * 2) / (14 * 17 * 3)

Now, calculate the products in the numerator and denominator:

(714) / (714)

Step 4: Simplify the fraction:

Since the numerator and denominator are the same, the result is 1.

So, the final answer is 1.