Multiply Fraction 1/3 by Scale Factor 4: Fraction Enlargement

Enlarge the following fraction by the factor 4:

13= \frac{1}{3}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Expand the fraction by 4
00:03 Multiply the fraction by the given factor
00:06 Make sure to multiply both numerator and denominator
00:09 Calculate the multiplications
00:13 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Enlarge the following fraction by the factor 4:

13= \frac{1}{3}=

2

Step-by-step solution

To solve the problem of enlarging the fraction 13\frac{1}{3} by a factor of 4, we will follow these steps:

  • Step 1: Identify the given fraction and enlargement factor. The fraction is 13\frac{1}{3} and the factor is 4.
  • Step 2: Multiply both the numerator and denominator of the fraction by the enlargement factor. This means we calculate:

1×43×4=412 \frac{1 \times 4}{3 \times 4} = \frac{4}{12}

Step 3: Check if the fraction can be simplified. Here, 412\frac{4}{12} can be simplified to 13\frac{1}{3}, but since we aim to express it in an "enlarged" form, 412\frac{4}{12} is a correct representation when enlarged by the given factor.

Step 4: Verify against answer choices if applicable. In our list of choices, 412\frac{4}{12} is listed as choice 3, which matches our calculated answer.

Therefore, the solution to the problem is 412\frac{4}{12}.

3

Final Answer

412 \frac{4}{12}

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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