What is the next fraction in this sequence? Simplify your answer.

7
12
,
1
2
,
5
12
,
1
3
,  ...

The given sequence of fractions is:

\[
\frac{7}{12}, \frac{1}{2}, \frac{5}{12}, \frac{1}{3}, \dots
\]

To find the next fraction, let's analyze the pattern. First, let's convert all the fractions to have a denominator of 12, so we can compare them more easily:

- \(\frac{7}{12} = \frac{7}{12}\)
- \(\frac{1}{2} = \frac{6}{12}\)
- \(\frac{5}{12} = \frac{5}{12}\)
- \(\frac{1}{3} = \frac{4}{12}\)

We can see the numerators are decreasing by 1 each time:

\[
7, 6, 5, 4, \dots
\]

Therefore, the next numerator should be \(3\). So, the next fraction in the sequence is:

\[
\frac{3}{12} = \frac{1}{4}
\]

Thus, the next fraction in the sequence is \(\frac{1}{4}\).

---

Do you want more details or have any questions?  
Here are 5 related questions to explore:

1. What would be the 6th term in this sequence?
2. Can this pattern continue indefinitely?
3. How do you find common denominators for adding fractions?
4. What is the decimal equivalent of each fraction in the sequence?
5. How would you determine the general formula for this sequence?

**Tip:** When working with fractions, always check if they can be simplified after performing any operations.

What is the next fraction in this sequence? Simplify your answer.
7/12, 1/2, 5/12, 1/3, ...

Discover how to find the next fraction in the sequence 7/12, 1/2, 5/12, 1/3, and learn key mathematical concepts like fraction simplification and pattern recognition. This problem is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation