Multiply 8/11 by a Factor of 6: Fraction Scaling Problem

Increase the following fraction by a factor of 6:

811= \frac{8}{11}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Expand the fraction by 6
00:03 Multiply the fraction by the given factor
00:06 Make sure to multiply both numerator and denominator
00:10 Calculate the multiplications
00:15 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

Increase the following fraction by a factor of 6:

811= \frac{8}{11}=

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Identify the given fraction as 811 \frac{8}{11} .
  • Step 2: Determine the factor to increase by, which is 6.
  • Step 3: Multiply the numerator by the factor: 8×6=48 8 \times 6 = 48 .
  • Step 4: Multiply the denominator by the factor: 11×6=66 11 \times 6 = 66 .

Now, let's perform the calculation to expand the fraction:

Starting with the original fraction:

811 \frac{8}{11}

We need to multiply both the numerator and the denominator by the factor of 6:

The new numerator is:

8×6=48 8 \times 6 = 48

The new denominator is:

11×6=66 11 \times 6 = 66

Thus, the fraction increased by a factor of 6 is:

4866 \frac{48}{66}

Therefore, the solution to the problem is 4866 \frac{48}{66} .

3

Final Answer

4866 \frac{48}{66}

Practice Quiz

Test your knowledge with interactive questions

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

\( 5:6= \)

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