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

Question

23×?=14 \frac{2}{3}\times?=\frac{1}{4}

Video Solution

Solution Steps

00:00 Find the unknown
00:03 Isolate the unknown
00:06 Write division as multiplication by the reciprocal, and calculate the products
00:09 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Start with the given equation 23×?=14\frac{2}{3} \times ? = \frac{1}{4}.
  • Step 2: To isolate the unknown, divide both sides of the equation by 23\frac{2}{3}. This can be done by multiplying 14\frac{1}{4} by the reciprocal of 23\frac{2}{3}, which is 32\frac{3}{2}.
  • Step 3: The calculation becomes: 14×32=1×34×2=38\frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8}.

Therefore, the solution to the problem is ?=38 ? = \frac{3}{8} . Hence, the correct choice is option 2.

Answer

38 \frac{3}{8}