Solve: Find the Unknown Factor in (3/5 × ? = 2/4)

Question

35×?=24 \frac{3}{5}\times?=\frac{2}{4}

Video Solution

Step-by-Step Solution

To solve this problem, we need to find the missing fraction x x such that 35×x=24 \frac{3}{5} \times x = \frac{2}{4} . We'll follow these steps:

  • Step 1: Simplify the fraction 24 \frac{2}{4} to 12 \frac{1}{2} .
  • Step 2: Set up the equation to solve for x x . This gives us 35×x=12 \frac{3}{5} \times x = \frac{1}{2} .
  • Step 3: Isolate x x by dividing both sides by 35 \frac{3}{5} , leading to x=1235 x = \frac{\frac{1}{2}}{\frac{3}{5}} .
  • Step 4: Simplify the complex fraction by multiplying by the reciprocal: x=12×53 x = \frac{1}{2} \times \frac{5}{3} .
  • Step 5: Calculate the multiplication: x=1×52×3=56 x = \frac{1 \times 5}{2 \times 3} = \frac{5}{6} .

Therefore, the solution to the problem is 56 \frac{5}{6} .

Answer

56 \frac{5}{6}