Question

Y • 4 3/4 = 3 5/8 - 2 5/6 Пожалуйста

Answer 1

У * 4 3/4 = 3 5/8 - 2 5/6
у * 19/4 = 3 15/24 - 2 20/24
у * 19/4 = 2 39/24 - 2 20/24
у * 19/4 = 19/24
у = 19/24 : 19/4
у = 19/24 * 4/19
у = 4/24
у = 1/6

Пояснения:
4 целых 3/4 = (4*4+3)/4 = 19/4
5/8 = 15/24 - доп.множ. 3
5/6 = 20/24 - доп.множ. 4
4/24 = 1/6 - сократили на 4

Answer 2

Y * 4 3/4 = 3 5/8 - 2 5/6
y * 19/4 = 29/8 - 17/6
19/4y = 19/24
y = 1/6

Answer 3

To solve for Y in the equation:

Y • 4 3/4 = 3 5/8 - 2 5/6

First, we need to simplify the right-hand side by finding a common denominator for 5/8 and 5/6:

5/8 = 15/24 5/6 = 20/24

Now we can rewrite the equation as:

Y • 4 3/4 = 3 15/24 - 2 20/24

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

3 15/24 = 87/24 2 20/24 = 68/24

Substituting these values into the equation, we get:

Y • 4 3/4 = 87/24 - 68/24

Simplifying the right-hand side:

Y • 4 3/4 = 19/24

To solve for Y, we can divide both sides by 4 3/4:

Y = (19/24) ÷ (4 3/4)

We can convert 4 3/4 to an improper fraction:

4 3/4 = 19/4

Substituting this value into the equation:

Y = (19/24) ÷ (19/4)

To divide fractions, we can multiply the first fraction by the reciprocal of the second:

Y = (19/24) × (4/19)

The 19's cancel out, leaving:

Y = 1/4

Therefore, the solution is Y = 1/4.