Question

Решите уравнение: 2,5х:4 целых 2/3=1/21:12 Заранее спасибо)))

Answer 1

$2,5x:4\frac{2}{3}= \frac{1}{21}:12 \\ \\ \frac{25}{10} x:\frac{14}{3}= \frac{1}{21}:12 \\ \\ \frac{25}{10} x*\frac{3}{14}= \frac{1}{21}* \frac{1}{12} \\ \\ \frac{75}{140} x= \frac{1}{252} \\ \\ \frac{15}{28} x= \frac{1}{252} \\ \\ x= \frac{1}{252}: \frac{15}{28} \\ \\ x= \frac{1}{252}* \frac{28}{15}=\frac{1}{63}* \frac{7}{15}=\frac{1}{9}* \frac{1}{15}=\frac{1}{135}$

Answer 2

To solve the equation: 2.5x/4 + 2/3 = 1/21:12, we can follow these steps:

Step 1: Simplify the equation by performing the division on the right side: 1/21:12 = 1/21 * 12 = 12/21 = 4/7

Step 2: Rewrite the equation with the simplified expression: 2.5x/4 + 2/3 = 4/7

Step 3: To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 4, 3, and 7 is 84. Multiply each term by 84: (84 * 2.5x)/4 + (84 * 2)/3 = (84 * 4)/7

Simplifying further: 21x + 56 = 48

Step 4: Solve for x by isolating the variable. Subtract 56 from both sides of the equation: 21x = 48 - 56 21x = -8

Step 5: Divide both sides of the equation by 21 to solve for x: x = -8/21

Therefore, the solution to the equation 2.5x/4 + 2/3 = 1/21:12 is x = -8/21.

Please note that this solution is based on the given equation and the steps used to solve it.