Multiply Fraction 10/12 by a Factor of 2: Step-by-Step Solution

Question

Increase the following fraction by a factor of 2:

1012= \frac{10}{12}=

Video Solution

Solution Steps

00:00 Expand the fraction by 2
00:03 Multiply the fraction by the given factor
00:07 Make sure to multiply both numerator and denominator
00:11 Calculate the multiplications
00:14 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to increase the fraction 1012 \frac{10}{12} by a factor of 2. This can be accomplished by multiplying both the numerator and the denominator by 2, to maintain the value relationship while doubling the fraction.

Let's go through the solution step-by-step:

  • Step 1: Identify the original fraction, which is 1012 \frac{10}{12} .
  • Step 2: Multiply the numerator by 2. This results in 10×2=20 10 \times 2 = 20 .
  • Step 3: Multiply the denominator by 2. This results in 12×2=24 12 \times 2 = 24 .
  • Step 4: Construct the new fraction 2024 \frac{20}{24} .

The fraction 2024 \frac{20}{24} is the result of increasing the original fraction by a factor of 2. In this case, this number is confirmed to be the correct answer.

Therefore, the solution to the problem is 2024 \frac{20}{24} .

Answer

2024 \frac{20}{24}