Question

(2 4/5 × X - 50) : 2/3 = 51

Answer 1

Ответ:

30

Пошаговое объяснение:

$2\frac{4}{5} *x-50=51*\frac{2}{3} \\\\2\frac{4}{5} *x-50 = 34\\\\2\frac{4}{5} *x= 34+50\\\\\frac{14}{5} *x= 84\\\\x=84:\frac{14}{5} \\\\x=84*\frac{5}{14}\\x=30$

Answer 2

To solve for X in the equation (2 4/5 × X - 50) ÷ 2/3 = 51, you can follow these steps:

1. First, simplify the left side of the equation: (2 4/5 × X - 50) ÷ 2/3 = 51

2. Convert the mixed number 2 4/5 to an improper fraction: 2 4/5 = (5 * 2 + 4) / 5 = 14/5

3. Rewrite the equation with the simplified values: (14/5 × X - 50) ÷ 2/3 = 51

4. Invert and multiply to change the division by 2/3 into multiplication by its reciprocal (3/2): (14/5 × X - 50) × (3/2) = 51

5. Now, distribute the (3/2) to both terms inside the parentheses: (3/2) × (14/5 × X - 50) = 51

6. Simplify both sides of the equation: (3/2) × (14/5 × X - 50) = 51

   (3/2) × (14/5 × X - 50) = 51

   (21/5 × X - 75) = 51

7. Add 75 to both sides to isolate the term with X: (21/5 × X) = 51 + 75

8. Combine the constants on the right side: (21/5 × X) = 126

9. To solve for X, multiply both sides by the reciprocal of (21/5), which is (5/21): X = (126) × (5/21)

10. Simplify the right side of the equation: X = (126/1) × (5/21) = (126 * 5) / (1 * 21) = 630/21

11. Reduce the fraction to its simplest form: X = 30

So, the solution to the equation is X = 30.