Question

2 2/5 : x = 48/75 Срочна

Answer 1

Ответ:

3,75

Пошаговое объяснение:

12/5*1/x=48/75

12*75=48*5*x

(12*75)/(48*5)=x

x=3,75

Answer 2

To solve the equation "2 2/5 : x = 48/75," we need to convert the mixed number on the left-hand side into an improper fraction.

2 2/5 is equivalent to (2 * 5 + 2) / 5 = 12/5.

So the equation becomes:

12/5 : x = 48/75

To solve for x, we can multiply both sides of the equation by the reciprocal of 12/5, which is 5/12:

(12/5) * (5/12) * x = (48/75) * (5/12)

The 5/12 on both sides of the equation cancel out, leaving us with:

x = (48/75) * (5/1)

To simplify the right-hand side, we multiply the numerators and denominators:

x = (48 * 5) / (75 * 1)

x = 240 / 75

Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 15:

x = (240 ÷ 15) / (75 ÷ 15)

x = 16/5

Therefore, the solution to the equation "2 2/5 : x = 48/75" is x = 16/5.