Question

Решите плиз 14 7/9-(Y+8 8/9)=4 2/9

Answer 1

14 7/9-Y-8 8/9=4 2/9
-Y=4 2/9-14 7/9+8 8/9
-Y=-1 6/9
Y=1 2/3

Answer 2

Sure, I'd be happy to help you solve the equation. Let's break it down step-by-step.

The equation is:

14 7/9 - (Y + 8 8/9) = 4 2/9

Step 1: Convert mixed numbers to improper fractions. To simplify the calculations, it's better to convert mixed numbers into improper fractions.

14 7/9 = (9 * 14 + 7) / 9 = 133 / 9 8 8/9 = (9 * 8 + 8) / 9 = 80 / 9 4 2/9 = (9 * 4 + 2) / 9 = 38 / 9

So, the equation becomes:

133 / 9 - (Y + 80 / 9) = 38 / 9

Step 2: Distribute the negative sign. Distribute the negative sign across the parentheses:

133 / 9 - Y - 80 / 9 = 38 / 9

Step 3: Combine like terms. Combine the fractions that have the same denominators:

(133 - 80) / 9 - Y = 38 / 9

Step 4: Simplify. Perform the subtraction on the left side:

53 / 9 - Y = 38 / 9

Step 5: Isolate Y. To isolate Y, move the constant term to the other side of the equation:

53 / 9 = 38 / 9 + Y

Step 6: Solve for Y. To solve for Y, subtract 38/9 from both sides:

Y = 53 / 9 - 38 / 9

Now, find a common denominator (which is 9) and subtract the fractions:

Y = (53 - 38) / 9 Y = 15 / 9

Step 7: Simplify the fraction. The fraction 15/9 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

Y = 5 / 3

So, the value of Y that satisfies the equation is Y = 5/3.