Question

A) x*5 1/6=62 b)X*6 2/15=1 8/45 c)8/9*x=1 1/9 d) 1 6/7*x=2/3 Пжжж срочно 5 баллов поставлю

Answer 1

я решила кратко

надеюсь, что помогла

Answer 2

A) To solve the equation x * 5 1/6 = 62, we need to convert the mixed fraction 1/6 to an improper fraction. The equation becomes:

x * 31/6 = 62

To isolate x, we can multiply both sides of the equation by the reciprocal of 31/6, which is 6/31:

(x * 31/6) * (6/31) = 62 * (6/31)

x = (62 * 6) / 31

x = 12

Therefore, the solution to the equation is x = 12.

B) Similarly, to solve the equation x * 6 2/15 = 1 8/45, we convert the mixed fraction 2/15 to an improper fraction:

x * 92/15 = 18/45

Next, we can simplify the right side of the equation:

x * 92/15 = 2/5

To isolate x, we can multiply both sides of the equation by the reciprocal of 92/15, which is 15/92:

(x * 92/15) * (15/92) = (2/5) * (15/92)

x = (2 * 15) / (5 * 92)

x = 30/460

Simplifying the fraction further, we get:

x = 3/46

Therefore, the solution to the equation is x = 3/46.

C) For the equation 8/9 * x = 1 1/9, we convert the mixed fraction 1/9 to an improper fraction:

8/9 * x = 10/9

To isolate x, we can multiply both sides of the equation by the reciprocal of 8/9, which is 9/8:

(8/9 * x) * (9/8) = (10/9) * (9/8)

x = 10/8

Simplifying the fraction further, we get:

x = 5/4

Therefore, the solution to the equation is x = 5/4.

D) Lastly, for the equation 1 6/7 * x = 2/3, we convert the mixed fraction 6/7 to an improper fraction:

13/7 * x = 2/3

To isolate x, we can multiply both sides of the equation by the reciprocal of 13/7, which is 7/13:

(13/7 * x) * (7/13) = (2/3) * (7/13)

x = (2 * 7) / (3 * 13)

x = 14/39

Therefore, the solution to the equation is x = 14/39.