Question

Determine the missing number. $$\frac{2}{3}=\frac{?}{12}$$

Short answer

}{12}$? Answer: The missing number is 8.

Step-by-step solution

Set up the proportion

Set up the proportion with the two given fractions: $$\frac{2}{3} = \frac{?}{12}$$

Cross-multiply

Cross-multiply the fractions to find the missing number. That means, multiply the numerator of the first fraction by the denominator of the second one and vice versa: $$2 \times 12 = 3 \times ?$$

Simplify the cross-multiply result

Next, simplify both sides of the equation: $$24 = 3?$$

Solve for the missing number

Now, to find the missing number, divide both sides of the equation by 3: $$\frac{24}{3} = \frac{3?}{3}$$ $$8 = ?$$

State the answer

The missing number is 8: $$\frac{2}{3} = \frac{8}{12}$$