Quick Answer
A student with a 3.20 GPA over 60 credits who earns a 3.75 GPA on 15 new credits will have an estimated cumulative GPA of 3.31.
Previous Academic Record
New Semester Courses
Common Examples
| Input | Result |
|---|---|
| Previous: 3.50 GPA, 30 credits. New: A, B+, A- (3 credits each) | Estimated cumulative GPA: 3.58 |
| Previous: 3.00 GPA, 60 credits. New: A, A, B, B (3 credits each) | Estimated cumulative GPA: 3.10 |
| Previous: 2.80 GPA, 45 credits. New: A, A, A (4 credits each) | Estimated cumulative GPA: 3.11 |
| Previous: 3.50 GPA, 90 credits. New: B, B+, C+ (3 credits each) | Estimated cumulative GPA: 3.42 |
How It Works
The Formula
Cumulative GPA = Total Grade Points / Total Credit Hours
Where:
- Total Grade Points = (Previous GPA x Previous Credits) + Sum of (New Course Grade Point x New Course Credits)
- Total Credit Hours = Previous Credits + Sum of New Course Credits
Each letter grade corresponds to a numeric value on the standard 4.0 scale:
| Grade | Points | Grade | Points |
|---|---|---|---|
| A | 4.0 | C | 2.0 |
| A- | 3.7 | C- | 1.7 |
| B+ | 3.3 | D+ | 1.3 |
| B | 3.0 | D | 1.0 |
| B- | 2.7 | D- | 0.7 |
| C+ | 2.3 | F | 0.0 |
Worked Example
A student has a cumulative GPA of 3.20 over 60 completed credits. In the new semester, the student takes three 3-credit courses: English (A = 4.0), Statistics (B+ = 3.3), and Philosophy (A- = 3.7).
Previous grade points = 3.20 x 60 = 192.0.
New grade points = (4.0 x 3) + (3.3 x 3) + (3.7 x 3) = 12.0 + 9.9 + 11.1 = 33.0.
New semester GPA = 33.0 / 9 = 3.667.
Total grade points = 192.0 + 33.0 = 225.0. Total credits = 60 + 9 = 69.
Estimated cumulative GPA = 225.0 / 69 = 3.26.
The cumulative GPA rose from 3.20 to an estimated 3.26 because the new semester GPA (3.67) was higher than the existing cumulative GPA.
How Cumulative GPA Changes
Cumulative GPA is a weighted average, so the more credits already completed, the less impact a single semester has. A student with 120 credits needs a much higher (or lower) semester GPA to move the cumulative average than a student with 30 credits. This is why early semesters have a larger proportional effect on cumulative GPA.
Related Calculators
Frequently Asked Questions
How is cumulative GPA different from semester GPA?
Can one bad semester ruin my cumulative GPA?
What GPA do I need this semester to raise my cumulative GPA?
Does this calculator account for pass/fail courses?
Why does my GPA barely change even with a great semester?
Learn More
GPA and Grades: Everything Students Need to Know
How GPA is calculated on the 4.0 scale, how to compute semester and cumulative GPA, and strategies for raising your GPA. Step-by-step examples included.
How to Calculate Your GPA
The GPA formula, step by step. Calculate your semester GPA and cumulative GPA with worked examples using the standard 4.0 scale.
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