Question

1/6/1/4х-1/3-3/8=1/40

Answer 1

$\frac{1}{6} : \frac{1}{4} x- \frac{1}{3} - \frac{3}{8} = \frac{1}{40}$
$\frac{1}{6} * 4 x- \frac{8}{24} - \frac{9}{24} = \frac{1}{40}$
$\frac{2}{3} x- \frac{17}{24} = \frac{1}{40}$
$\frac{2}{3} x = \frac{1}{40} + \frac{17}{24}$
$\frac{2}{3} x = \frac{3}{120} + \frac{85}{120}$
$\frac{2}{3} x = \frac{88}{120}$
$\frac{2}{3} x = \frac{11}{15}$
$x = \frac{11}{15} : \frac{2}{3}$
$x = \frac{11}{15}*\frac{3}{2}$
$x = \frac{11}{10}$
$x=1,1$

Ответ: 1,1

Answer 2

To solve the equation 1/6(1/4x - 1/3) - 3/8 = 1/40, we can follow these steps:

Step 1: Simplify the equation by distributing the 1/6 to the terms inside the parentheses: (1/6)(1/4x) - (1/6)(1/3) - 3/8 = 1/40

Simplifying this gives us: 1/24x - 1/18 - 3/8 = 1/40

Step 2: Find a common denominator for the fractions in the equation. The common denominator for 24, 18, and 8 is 72.

Converting all the fractions to have a denominator of 72, we get: (3x/72) - (4/72) - (27/72) = 1/40

Step 3: Combine like terms on the left side of the equation: (3x/72) - (31/72) = 1/40

Step 4: To get rid of the fractions, we can multiply the entire equation by 72: 72 * ((3x/72) - (31/72)) = (1/40) * 72

Simplifying this gives us: 3x - 31 = 1.8

Step 5: Add 31 to both sides of the equation to isolate 3x: 3x = 1.8 + 31 3x = 32.8

Step 6: Divide both sides of the equation by 3 to solve for x: x = 32.8 / 3 x = 10.9333 (rounded to four decimal places)

Therefore, the solution to the equation 1/6(1/4x - 1/3) - 3/8 = 1/40 is x = 10.9333 (rounded to four decimal places).