Could anyone help me find the pattern for these fractions? I can't seem to figure it out. Thanks
2/3,3/4,4/5,5/6.
The LCD for them is 60.
The fractions get larger as the numerators and denominators increase by 1.
So absent-mind of me to overlook the simple pattern. Thanks Ms.Sue!
You're welcome, Shadow.
To find the pattern in these fractions, we can start by looking at the numerators and denominators separately.
First, let's focus on the numerators: 2, 3, 4, 5. Notice that these are consecutive integers, starting from 2. This tells us that the numerator follows a pattern of incrementing by 1 each time.
Next, let's examine the denominators: 3, 4, 5, 6. Similarly, these numbers are consecutive integers, starting from 3. Therefore, the denominator also follows a pattern of incrementing by 1 each time.
Now, since we have established the patterns for both the numerator and denominator, we can deduce the pattern for the fractions. Each fraction is given by taking the numerator as the starting number and then incrementing it by 1, and the denominator is taken as the starting number incremented by 2.
So, taking the first fraction as an example (2/3), the next fraction would be (3/4), and then (4/5), and finally (5/6).
To verify this pattern, we can calculate the next fraction in the sequence using the pattern. Starting with the last given fraction (5/6), we increment the numerator by 1 (5+1 = 6) and the denominator by 2 (6+2 = 8). Therefore, the next fraction in the sequence would be 6/8, which can be simplified to 3/4.
Thus, the pattern for the given fractions is that each fraction is given by taking the numerator as the starting number and incrementing it by 1, while the denominator is taken as the starting number incremented by 2.