Question

2 3/16y=8 6/7 решити​

Answer 1

2 3/16*у=8 6/7

35/16*у=62/7

у=(62/7):35/16=(62/7)*16/35=992/105=

9 47/105

Answer 2

To solve the equation 2 3/16y = 8 6/7, we'll start by converting the mixed numbers into improper fractions.

2 3/16 can be written as (2 * 16 + 3) / 16 = 35/16.

8 6/7 can be written as (8 * 7 + 6) / 7 = 62/7.

Now, the equation becomes 35/16y = 62/7.

To solve for y, we'll multiply both sides of the equation by the reciprocal of 35/16, which is 16/35:

(16/35) * (35/16y) = (16/35) * (62/7)

Simplifying the left side and canceling out common factors:

1/y = (16 * 62) / (35 * 7)

1/y = 992 / 245

To isolate y, we take the reciprocal of both sides:

y = 245 / 992

Therefore, the solution to the equation 2 3/16y = 8 6/7 is y = 245/992.