Question

2 1/3:x= 2 1/4: 3 3/8

Answer 1

Відповідь:

2/7

Покрокове пояснення:

7/3x=2/3

x=2/7

Answer 2

To solve the equation 2 1/3 : x = 2 1/4 : 3 3/8, we need to find the value of x.

Let's convert the mixed numbers into improper fractions first:

2 1/3 = (2 * 3 + 1) / 3 = 7/3 2 1/4 = (2 * 4 + 1) / 4 = 9/4 3 3/8 = (3 * 8 + 3) / 8 = 27/8

Now, the equation becomes:

(7/3) : x = (9/4) : (27/8)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. So, the equation becomes:

(7/3) * (8/27) = (9/4)

To simplify, we can cancel out common factors:

(7 * 8) / (3 * 27) = 9/4

56/81 = 9/4

To solve for x, we can cross-multiply:

56 * 4 = 81 * 9 224 = 729

Since 224 is not equal to 729, the equation is not balanced. Therefore, there is no solution for x that satisfies the equation 2 1/3 : x = 2 1/4 : 3 3/8.