Question

4/5y+5/8y-14/24y=1/6​

Answer 1

Ответ:

Пошаговое объяснение:

4/5y+5/8y-14/24y=1/6​

95\120у+75\120у-70\120у=1\6

5\6у=1\6

у=1\6*6\5

у=1\5

Answer 2

To solve the equation $\frac{4}{5}y + \frac{5}{8}y - \frac{14}{24}y = \frac{1}{6}$, follow these steps:

Step 1: Find a common denominator for the fractions. The common denominator for 5, 8, and 24 is 120. So, we'll rewrite the equation with a common denominator:

$\frac{96}{120}y + \frac{75}{120}y - \frac{70}{120}y = \frac{20}{120}$

Step 2: Combine the y terms on the left side of the equation:

$\frac{96}{120}y + \frac{75}{120}y - \frac{70}{120}y = \frac{201}{120}y = \frac{20}{120}$

Step 3: Simplify the equation by dividing both sides by the coefficient of y (201/120):

$y = \frac{20}{120} \div \frac{201}{120} = \frac{20}{120} \times \frac{120}{201} = \frac{20}{201}$

So, the solution to the equation is $y = \frac{20}{201}$.