Solve the Fraction Equation: 2/3 × ? = 1/4

Question

$\frac{2}{3}\times?=\frac{1}{4}$

00:05 Let's find the unknown together.

00:08 First, we'll isolate the unknown, so it's all by itself on one side.

00:14 Now, change division to multiplication by using the reciprocal, then calculate the results.

00:20 And there you have it! That's how we solve this problem.

To solve this problem, we’ll follow the division of fractions method:

Step 1: Start with the given equation $\frac{2}{3} \times ? = \frac{1}{4}$ .
Step 2: To isolate the unknown, divide both sides of the equation by $\frac{2}{3}$ . This can be done by multiplying $\frac{1}{4}$ by the reciprocal of $\frac{2}{3}$ , which is $\frac{3}{2}$ .
Step 3: The calculation becomes: $\frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8}$ .

Therefore, the solution to the problem is $? = \frac{3}{8}$ . Hence, the correct choice is option 2.

$\frac{3}{8}$