Multiply Fraction 8/9 by Factor of 11: Step-by-Step Solution

Enlarge the following fraction by a factor of 11:

89= \frac{8}{9}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Expand the fraction by 11
00:04 Multiply the fraction by the given factor
00:07 Make sure to multiply both numerator and denominator
00:12 Calculate the multiplications
00:16 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 a factor of 11:

89= \frac{8}{9}=

2

Step-by-step solution

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

  • Step 1: Multiply the numerator of the fraction by the enlargement factor.
  • Step 2: Multiply the denominator of the fraction by the enlargement factor.
  • Step 3: Write the new fraction formed after multiplication.

Now, let's work through each step:

Step 1: The numerator of 89 \frac{8}{9} is 8. Multiply 8 by 11:
8×11=88 8 \times 11 = 88 .

Step 2: The denominator of 89 \frac{8}{9} is 9. Multiply 9 by 11:
9×11=99 9 \times 11 = 99 .

Step 3: The enlarged fraction is given by the new numerator and denominator:
8899 \frac{88}{99} .

Therefore, the solution to the problem is 8899 \frac{88}{99} .

3

Final Answer

8899 \frac{88}{99}

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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