Question

1/3x+1/4x-1/5x=1 8/15x=?

Answer 1

4

Пошаговое объяснение:

20/60x + 15/60x - 12/60x = 1 8/15

23/60x = 23/15

23/15 : 23/60 = x

23/15 * 60/23 = x

x = 4

Answer 2

To solve the equation (1/3)x + (1/4)x - (1/5)x = 1, we need to find a common denominator for the fractions. The least common multiple (LCM) of 3, 4, and 5 is 60. So, we'll multiply each term by 60 to eliminate the denominators:

(60 * 1/3)x + (60 * 1/4)x - (60 * 1/5)x = 60 * 1

20x + 15x - 12x = 60

Combining like terms:

23x = 60

Now, we can solve for x by dividing both sides of the equation by 23:

x = 60 / 23

To find 8/15x, we substitute the value of x into the expression:

8/15 * (60 / 23)

Simplifying further:

(8 * 60) / (15 * 23) = 480 / 345 = 160 / 115 = 32/23

Therefore, 8/15x is equal to 32/23.