To convert the fraction 2/3 into a fraction with a denominator of 9, we need to follow a simple process that involves finding an equivalent fraction.
First, we can understand that our goal is to change the denominator from 3 to 9. To do this, we need to determine the factor that will allow us to scale up the denominator. In this case, we can see that 3 × 3 = 9. This tells us that we need to multiply both the numerator and the denominator of 2/3 by 3.
Now, let’s perform the calculation:
- Numerator: 2 × 3 = 6
- Denominator: 3 × 3 = 9
This gives us the new fraction:
- 6/9
Therefore, 2/3 written as a fraction with a denominator of 9 is 6/9.
It’s always a good practice to check if the fraction can be simplified. In this case, both the numerator and the denominator can be divided by 3, which simplifies 6/9 back to 2/3. Hence, 6/9 and 2/3 are equivalent fractions.
In conclusion, 2/3 can be expressed as 6/9 when we adjust the denominator to 9.