Question

A) 2/3*6/7:4/7 Б) 11/12:7/24*21/22 в) 15/26:3/8*3/4 г) 13/14*7/25:13/25 д) 3 3/4*(4 1/2:6 3/4)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's simplify each of these expressions step by step:

A) (2/3 * 6/7) / (4/7)

First, multiply the fractions in the numerator: (2/3 * 6/7) = (12/21)

Now, divide by the fraction in the denominator: (12/21) / (4/7)

To divide fractions, multiply by the reciprocal of the second fraction: (12/21) * (7/4) = (84/84)

Now simplify the fraction: 84/84 = 1

So, the result of expression A is 1.

B) (11/12) / (7/24 * 21/22)

First, multiply the fractions in the denominator: (7/24 * 21/22) = (147/528)

Now, divide by the fraction in the numerator: (11/12) / (147/528)

To divide fractions, multiply by the reciprocal of the second fraction: (11/12) * (528/147) = (11/12) * (16/7)

Now, simplify the fraction: (11/12) * (16/7) = (176/84)

Now simplify further: 176/84 = 22/12 = 11/6

So, the result of expression B is 11/6.

C) (15/26) / (3/8 * 3/4)

First, multiply the fractions in the denominator: (3/8 * 3/4) = (9/32)

Now, divide by the fraction in the numerator: (15/26) / (9/32)

To divide fractions, multiply by the reciprocal of the second fraction: (15/26) * (32/9)

Now, simplify the fraction: (15/26) * (32/9) = (480/234)

Now simplify further: 480/234 = 80/39

So, the result of expression C is 80/39.

D) 3 3/4 * (4 1/2 / 6 3/4)

First, convert the mixed numbers to improper fractions: 3 3/4 = (4 * 3 + 3)/4 = 15/4 4 1/2 = (2 * 4 + 1)/2 = 9/2 6 3/4 = (4 * 6 + 3)/4 = 27/4

Now, perform the division: (15/4) * (9/2 / 27/4)

To divide fractions, multiply by the reciprocal of the second fraction: (15/4) * (9/2) * (4/27)

Now, simplify the fractions: (15/4) * (9/2) * (4/27) = (135/4) * (4/27)

Now simplify further: (135/4) * (4/27) = (135/27)

Now simplify the fraction: (135/27) = 5

So, the result of expression D is 5.