Question

3 9/14: (- 2 1/7)=(x-0,55):1,5

Answer 1

Ответ:

3 9/14: (- 2 1/7)=(x-0,55):1,5

Answer 2

To solve the equation $3 \frac{9}{14} - \frac{2}{7} = \frac{x - 0.55}{1.5},$ we can follow these steps:

Step 1: Convert all fractions to a common denominator. In this case, the common denominator is 14.

$3 \frac{9}{14} = \frac{42}{14} + \frac{9}{14} = \frac{42 + 9}{14} = \frac{51}{14}.$

Step 2: Simplify the equation.

$\frac{51}{14} - \frac{2}{7} = \frac{x - 0.55}{1.5}.$

Step 3: Find a common denominator for the fractions on the left side of the equation. In this case, the common denominator is 14.

$\frac{51}{14} - \frac{4}{14} = \frac{x - 0.55}{1.5}.$

Step 4: Subtract the fractions on the left side.

$\frac{51 - 4}{14} = \frac{x - 0.55}{1.5}.$

Step 5: Further simplify.

$\frac{47}{14} = \frac{x - 0.55}{1.5}.$

Step 6: To isolate $x$, multiply both sides by 1.5.

$\frac{47}{14} \cdot 1.5 = x - 0.55.$

Step 7: Calculate the left side of the equation.

$\frac{47}{14} \cdot 1.5 = \frac{47 \cdot 1.5}{14} = \frac{70.5}{14} = 5.0357.$

Step 8: Add 0.55 to both sides to solve for $x$.

$5.0357 + 0.55 = x.$

Step 9: Calculate $x$.

$x = 5.5857.$

So, the solution to the equation is $x = 5.5857$.