Question

(6 1/3y−1/5)⋅5/4=5/4.

Answer 1

Ответ:

2.6

Пошаговое объяснение:

(6/13y - 1/5) * 5/4 = 5/4

переносим 5/4 в правую часть

(6/13y - 1/5) = 5/4 : 5/4

6/13y - 1/5 = 1

6/13y = 6/5

y = 6/5 : 6/13

y = 6/5 * 13/6

y = 13/5 = 2.6

Answer 2

Ответ:

Ответ:

2.6

Пошаговое объяснение:

(6/13y - 1/5) * 5/4 = 5/4

переносим 5/4 в правую часть

(6/13y - 1/5) = 5/4 : 5/4

6/13y - 1/5 = 1

6/13y = 6/5

y = 6/5 : 6/13

y = 6/5 * 13/6

y = 13/5 = 2.6

Пошаговое объяснение:

Answer 3

To solve the equation (6 1/3y - 1/5) * 5/4 = 5/4, you can follow these steps:

Step 1: First, let's simplify the left side of the equation by converting the mixed number (6 1/3) into an improper fraction. To do this, multiply the whole number (6) by the denominator of the fraction (3) and then add the numerator (1) to get the new numerator.

6 * 3 + 1 = 18 + 1 = 19

So, 6 1/3 is equivalent to 19/3.

Now, the equation becomes:

(19/3y - 1/5) * 5/4 = 5/4

Step 2: Next, we can cancel out the common factor of 4 in both the numerator and denominator of the fractions on the left side of the equation:

(19/3y - 1/5) * (5/4) = (5/4)

Step 3: Now, we can get rid of the fraction on the left side by multiplying both sides of the equation by the reciprocal of (5/4), which is (4/5):

[(19/3y - 1/5) * (5/4)] * (4/5) = (5/4) * (4/5)

This simplifies to:

(19/3y - 1/5) = 1

Step 4: To isolate the variable y, we can add 1/5 to both sides of the equation:

(19/3y - 1/5) + 1/5 = 1 + 1/5

This simplifies to:

19/3y = 6/5

Step 5: Now, we can solve for y by multiplying both sides of the equation by the reciprocal of (19/3), which is (3/19):

(19/3y) * (3/19) = (6/5) * (3/19)

This simplifies to:

y = (6/5) * (3/19)

Step 6: Finally, multiply the fractions on the right side to get the value of y:

y = (18/95)

So, the solution to the equation is:

y = 18/95