Question

4 1/15 - 1 4/25х = 1 1/6

Answer 1

Ответ:

Пошаговое объяснение:

4 1/15 - 1 4/25х = 1 1/6

1 4/25x = 4 1/15 - 1 1/6

1 4/25x = 4 2/30 - 1 5/30

1 4/25x = 2 27/30

29/25x = 29/10

x = 29/10 : 29/25

x = 29/10 * 25/29

x = 5/2

x = 2целых 1/2

Answer 2

To solve the equation:

4 1/15 - 1 4/25x = 1 1/6

First, let's convert all the mixed fractions to improper fractions:

4 1/15 = (4 * 15 + 1)/15 = 61/15 1 4/25x = (1 * 25x + 4)/25x = (25x + 4)/25x 1 1/6 = (1 * 6 + 1)/6 = 7/6

Now, substitute these values back into the equation:

61/15 - (25x + 4)/25x = 7/6

To solve this equation, we'll clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 150x:

150x * (61/15) - 150x * [(25x + 4)/25x] = 150x * (7/6)

Simplifying:

(150x * 61)/15 - 150x * [(25x + 4)/25x] = (150x * 7)/6

Canceling out common factors:

(10x * 61) - 150 * (25x + 4) = 25x * 7

Simplifying further:

610x - 3750x - 600 = 175x

Combining like terms:

610x - 3750x - 175x = 600

-3315x = 600

Dividing both sides by -3315:

x = 600 / -3315

Simplifying the fraction:

x ≈ -0.1807

Therefore, the approximate value of x that satisfies the equation is x ≈ -0.1807.