Solve 3 × 1/2: Multiplying a Whole Number by a Fraction

Question

3×12= 3\times\frac{1}{2}=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Multiply the numerator of the fraction by the integer.
  • Keep the denominator unchanged.
  • Convert the resulting improper fraction to a mixed number, if necessary.

Now, let's work through each step:
Step 1: Multiply the numerator of 12 \frac{1}{2} , which is 1 1 , by 3 3 :
1×3=3 1 \times 3 = 3 .

Step 2: Write the result over the original denominator:
32 \frac{3}{2} .

Step 3: Convert the improper fraction 32 \frac{3}{2} to a mixed number:
Divide 3 3 by 2 2 . This gives 1 1 as the quotient and 1 1 as the remainder, so:
32=112 \frac{3}{2} = 1\frac{1}{2} .

Therefore, the solution to the problem is 112 1\frac{1}{2} .

Answer

112 1\frac{1}{2}