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

3×12= 3\times\frac{1}{2}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve the problem together.
00:08 First, change the multiplication into the numerator form.
00:12 Now, calculate the multiplication step.
00:16 Next, convert it into a mixed fraction.
00:19 We'll break down the number three into two, plus one.
00:23 Decompose the fraction into a whole number and a remainder.
00:28 Now, change the improper fraction to a whole number, and put it in mixed fraction form.
00:35 And there you have it! That's the solution to the question.

Step-by-step written solution

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1

Understand the problem

3×12= 3\times\frac{1}{2}=

2

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} .

3

Final Answer

112 1\frac{1}{2}

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\( 5:\frac{2}{5}= \)

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