Question

8 1/3:2 2/3. 6/11:3. 4:2/9

Answer 1

Пошаговое объяснение:

1)

$8 \frac{1}{3} \div 2 \frac{2}{3} = \frac{25}{3} \div \frac{8}{3} = \frac{25}{3} \times \frac{3}{8} = \frac{75}{24} =$

$= 3 \frac{1}{8 } = 3.125$

2)

$\frac{6}{11} \div 3 = \frac{2}{11} = 0.181$

3)

$4 \div \frac{2}{9} = 18$

Answer 2

To solve the given expressions, let's take them one by one:

1. 8 1/3 : 2 2/3: To divide mixed numbers, we first convert them into improper fractions and then perform the division.

The first mixed number, 8 1/3, can be converted to an improper fraction as follows: 8 1/3 = (8 * 3 + 1)/3 = 25/3

Similarly, the second mixed number, 2 2/3, can be converted to an improper fraction as follows: 2 2/3 = (2 * 3 + 2)/3 = 8/3

Now we can perform the division: (25/3) : (8/3) = (25/3) * (3/8) = (25 * 3) / (3 * 8) = 75/24 = 25/8

Therefore, 8 1/3 : 2 2/3 equals 25/8.

2. 6/11 : 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

Reciprocal of 3 = 1/3

So, (6/11) : 3 = (6/11) * (1/3) = (6 * 1) / (11 * 3) = 6/33

The fraction 6/33 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3: 6/33 = (6/3) / (33/3) = 2/11

Therefore, 6/11 : 3 equals 2/11.

3. 4 : 2/9: To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction.

Reciprocal of 2/9 = 9/2

So, 4 : 2/9 = 4 * (9/2) = (4 * 9) / 2 = 36/2 = 18

Therefore, 4 : 2/9 equals 18.

To summarize:

1. 8 1/3 : 2 2/3 = 25/8
2. 6/11 : 3 = 2/11
3. 4 : 2/9 = 18