Question

А+5 5/12=8 7/12 и 8+В11/12=11 11/12.Найдите произведение А и В

Answer 1

Ответ:

13 35/66

Пошаговое объяснение:

из 1 - го  А=3 2/12=3 1/6=19/6

из 2-го В=(3 11/12)/(11/12)=36/11+1=47/11

Произведение А*В=19*47/66=893/66=13 35/66

Answer 2

To find the values of A and B, we can solve the two given equations:

1. A + 5 5/12 = 8 7/12
2. 8 + B 11/12 = 11 11/12

Let's solve these equations step by step:

1. A + 5 5/12 = 8 7/12

To get rid of the fractional part, let's convert the mixed numbers to improper fractions:

A + 5 + (5/12) = 8 + (7/12)

A + 5 + (5/12) = 8 + (7/12)

Now, let's move the fractions to one side and the whole numbers to the other side:

A = 8 + (7/12) - (5 + 5/12)

A = 8 + (7/12) - (5 + 5/12)

A = 8 + (7/12) - (60/12 + 5/12)

A = 8 + (7/12) - (65/12)

A = 8 + (7/12) - (65/12)

A = 8 - (58/12)

A = 8 - (58/12)

A = 8 - 4 10/12

A = 8 - 4 10/12

Now, convert the result back to a mixed number:

A = 3 2/12

A = 3 2/12

A = 3 1/6

A = 3 1/6

Next, let's solve the second equation:

2. 8 + B 11/12 = 11 11/12

Again, convert the mixed numbers to improper fractions:

8 + B + (11/12) = 11 + (11/12)

Now, move the fractions to one side and the whole numbers to the other side:

B = 11 + (11/12) - (8 + 11/12)

B = 11 + (11/12) - (8 + 11/12)

B = 11 + (11/12) - (95/12)

B = 11 + (11/12) - (95/12)

B = 11 - (84/12)

B = 11 - (84/12)

B = 11 - 7

B = 11 - 7

B = 4

Now we have the values of A and B:

A = 3 1/6 B = 4

To find the product of A and B, simply multiply them:

Product of A and B = (3 1/6) * 4

Convert 3 1/6 to an improper fraction:

3 + 1/6 = (18/6) + (1/6) = 19/6

Now, multiply:

Product of A and B = (19/6) * 4

Product of A and B = 19/6 * 4

Product of A and B = (19 * 4) / 6

Product of A and B = 76 / 6

Now, simplify the fraction:

Product of A and B = 12 4/6

Convert back to a mixed number:

Product of A and B = 12 + (4/6)

Product of A and B = 12 + (2/3)

Product of A and B = 12 2/3

So, the product of A and B is 12 2/3.