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Answer:

To find the missing number in the equivalent ratio 3/4 = blank/2/8, we can use cross-multiplication. Cross-multiplication is a method used to compare the values on opposite sides of an equation.

In this case, we can set up the equation:

(3/4) = (blank/2)/8

To cross-multiply, we multiply the numerator on the left side by the denominator on the right side, and vice versa.

Cross-multiplying gives us:

3 * 8 = blank * 2

24 = 2 * blank

To solve for the missing number (blank), we need to isolate it on one side of the equation. Since blank is multiplied by 2, we can divide both sides of the equation by 2:

24 / 2 = blank

12 = blank

Therefore, the missing number is 12.

To check if our answer is correct, we can substitute the value of blank back into the equation:

3/4 = 12/2/8

Simplifying the right side:

3/4 = 6/8

Reducing both sides of the equation:

3/4 = 3/4

Since both sides are equal, we have found the correct missing number, which is 12.

Step-by-step explanation:

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