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 Calculating your grade with weighted assignments involves assigning different weights to various components of your overall grade based on their importance. Here's a step-by-step guide to help you calculate your weighted grade:

1. Understand the Weighted Components:

   • Identify the different components that contribute to your overall grade. These could include exams, quizzes, projects, homework, and other assignments.

2. Assign Weight Percentages:

   • Determine the percentage weight each component carries in the overall grade. For example, an exam might be worth 40% of your grade, while homework is worth 20%. These percentages should add up to 100%.

3. Convert Percentages to Decimals:

   • Convert the percentages to decimals by dividing each percentage by 100. For example, 40% becomes 0.4, and 20% becomes 0.2.

4. Record Your Scores:

   • Record the scores you received for each component. For instance, if you scored 90% on an exam, use 0.9 in your calculations.

5. Multiply Scores by Weights:

   • Multiply each score by its corresponding weight. For example, if you scored 90% on an exam worth 40%, the contribution to your overall grade for that exam would be 0.9 * 0.4 = 0.36.

6. Sum the Weighted Scores:

   • Add up all the weighted scores. This sum represents your cumulative performance across all components.

7. Calculate Your Overall Grade:

   • The sum of the weighted scores is your overall grade. You can express this as a percentage or convert it to a letter grade based on your grading scale.

Formula: $\text{Overall Grade}=({\text{Score}}_{\text{Exam}}\times {\text{Weight}}_{\text{Exam}})+({\text{Score}}_{\text{Homework}}\times {\text{Weight}}_{\text{Homework}})+\dots$

Here's an example:

• Exam (40%): Score = 90% (0.9), Weight = 0.4
• Homework (20%): Score = 95% (0.95), Weight = 0.2

$\text{Overall Grade}=(0.9\times 0.4)+(0.95\times 0.2)=0.36+0.19=0.55$

In this example, the overall grade is 55%. You can use your institution's grading scale to interpret this as a letter grade if needed.

Remember that the weights and grading scales may vary, so it's essential to use the specific weights provided by your instructor or educational institution