Question

(8 2/15-у) -1/3=7 3 /5 ​

Answer 1

Ответ:

7/15

Пошаговое объяснение:

8 2/`5-y=7 3/5+1/3

8 2/5-y=7+9/15+5/15

8 2/5 - y=7 14/15

y=8 6/15-7 14/15=15/15+6/15-14/15=7/15

Answer 2

Let's solve the equation step by step:

(8 2/15 - y) - 1/3 = 7 3/5

First, we need to convert the mixed numbers to improper fractions:

8 2/15 = 8 + 2/15 = 122/15

7 3/5 = 7 + 3/5 = 38/5

Now the equation becomes:

(122/15 - y) - 1/3 = 38/5

Next, let's get rid of the fractions by finding a common denominator, which in this case is 15:

(122/15 - y) - (1/3 * 5/5) = 38/5

(122/15 - y) - 5/15 = 38/5

Now, we can combine like terms on the left side of the equation:

(122/15 - 5/15 - y) = 38/5

(117/15 - y) = 38/5

Now, let's isolate the variable y by moving the 117/15 to the right side of the equation:

• y = 38/5 - 117/15

To add or subtract fractions, they need a common denominator, which is 15 in this case. So, we'll adjust both fractions:

• y = (38/5 * 3/3) - (117/15)

• y = (114/15) - (117/15)

Now, subtract the fractions:

• y = (114 - 117)/15

• y = -3/15

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

• y = (-3/3) / (15/3)

• y = -1/5

So, the value of y is -1/5.