Solve: Multiplying 4 × 2/3 - Step-by-Step Solution

4×23= 4\times\frac{2}{3}=

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Step-by-step video solution

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00:00 Solve
00:04 Let's move the multiplier to the numerator
00:07 Let's calculate the multiplication
00:10 Now let's convert to a mixed fraction
00:14 Let's break down 8 into 6 plus 2
00:22 Let's break down the fraction into a whole number and remainder
00:29 Let's convert from improper fraction to whole number and combine into mixed fraction
00:38 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

4×23= 4\times\frac{2}{3}=

2

Step-by-step solution

To solve this problem, we'll multiply the whole number 4 by the fraction 23 \frac{2}{3} as follows:

  • Step 1: Convert the whole number 4 into a fraction. This can be written as 41 \frac{4}{1} .
  • Step 2: Use fraction multiplication rules: multiply the numerators together and the denominators together.
  • Step 3: So, multiply the numerators: 4×2=8 4 \times 2 = 8 .
  • Step 4: Multiply the denominators: 1×3=3 1 \times 3 = 3 .
  • Step 5: The result is 83 \frac{8}{3} .
  • Step 6: Since 83 \frac{8}{3} is an improper fraction, convert it to a mixed number.
    8÷3=2 8 \div 3 = 2 with a remainder of 2.
    Thus, 83=223 \frac{8}{3} = 2\frac{2}{3} .

Therefore, the solution to the problem is 223 2\frac{2}{3} .

3

Final Answer

223 2\frac{2}{3}

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

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