Question

(8целых 11/14-y)+2/7=59/14​

Answer 1

Ответ:

(8целых 11/14-y)+2/7=59/14

8 11/14 - у=59/14-2/7

8 11/14 - у =55/14

у=8 11/14-55/14=123/14-55/14 = 68/14 = 34/7 = 4 6/7

у = 4 6/7

Answer 2

Пошаговое объяснение:

( 8 11/14 - у ) + 2/7 = 59/14

8 11/14 - у = 59/14 - 2/7 ( 59/14 дробь неправильная,поэтому переведём )

8 11/14 - у = 4 3¹/14 - 2²/7 ( НОК равен 14 )

8 11/14 - у = 4 3/14 - 4/14

8 11/14 - у = 3 17/14 - 4/14

8 11/14 - у = 3 13/14

у = 8 11/14 - 3 13/14

у = 7  25/14 - 3 13/14

у = 4 12/14 ( дробь сократима на 2 )

у = 4 6/7

Answer 3

To solve the equation (8целых 11/14-y) + 2/7 = 59/14, we need to find the value of y.

First, let's simplify the left side of the equation:

(8целых 11/14-y) + 2/7 = 59/14

To combine the whole number and fractional part, we can convert 8 целых 11/14 to an improper fraction:

8 целых 11/14 = (8 * 14 + 11) / 14 = 115/14

Now, let's substitute the simplified expression into the equation:

(115/14 - y) + 2/7 = 59/14

Next, let's combine the fractions with the same denominator:

115/14 - y + 2/7 = 59/14

To add the fractions, they need to have the same denominator. Let's find the common denominator, which is 14:

(115 - 14y) / 14 + (4/7) / (2/2) = 59/14

Now, let's simplify the equation further:

(115 - 14y) / 14 + 8/14 = 59/14

Combine the numerators over the common denominator:

(115 - 14y + 8) / 14 = 59/14

Combine like terms:

(123 - 14y) / 14 = 59/14

Now, we can solve for y by cross-multiplying:

123 - 14y = 59

-14y = 59 - 123

-14y = -64

y = (-64) / (-14)

y = 64/14

Simplifying the fraction:

y = 32/7

Therefore, the solution to the equation is y = 32/7.