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101 LearnersLast updated on September 10, 2025
Adding and Subtracting Fractions Calculator
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about adding and subtracting fractions calculators.
What is an Adding and Subtracting Fractions Calculator?
An adding and subtracting fractions calculator is a tool that helps you perform operations on fractions quickly and accurately.
Since fractions can be tricky to add or subtract due to different denominators, this calculator simplifies the process by converting fractions to have common denominators and then performing the arithmetic. It saves time and effort, making calculations easy and precise.
How to Use the Adding and Subtracting Fractions Calculator?
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the fractions: Input the fractions you want to add or subtract into the given fields.
Step 2: Choose the operation: Select whether you want to add or subtract the fractions.
Step 3: Click on calculate: Click on the calculate button to get the result.
Step 4: View the result: The calculator will display the result instantly.
How to Add and Subtract Fractions?
To add or subtract fractions, you need to have a common denominator. The calculator uses the least common denominator (LCD) to convert the fractions. After converting, you can simply add or subtract the numerators and keep the denominator the same.
Example formula for adding fractions: (a/b) + (c/d) = (ad + bc) / bd For subtracting fractions, the formula is: (a/b) - (c/d) = (ad - bc) / bd The calculator automates these steps, ensuring accuracy and saving time.
Tips and Tricks for Using the Adding and Subtracting Fractions Calculator
When using an adding and subtracting fractions calculator, there are a few tips and tricks that can help you avoid mistakes:
- Ensure the fractions are entered correctly as improper or mixed numbers.
- After getting the result, consider simplifying the fraction if needed.
- Use decimal approximations if you're dealing with real-life measurements.
- Remember that adding or subtracting fractions with the same denominators is straightforward; only the numerators need to be added or subtracted.
Common Mistakes and How to Avoid Them When Using the Adding and Subtracting Fractions Calculator
We may think that when using a calculator, mistakes will not happen. But it is possible for children to make mistakes when using a calculator.
Mistake 1
Ignoring the need for a common denominator.
Always ensure fractions have a common denominator before adding or subtracting.
The calculator does this for you, but it's important to understand why it's necessary.
Mistake 2
Forgetting to convert mixed numbers to improper fractions.
Before performing operations, convert mixed numbers to improper fractions to avoid errors in calculation.
Mistake 3
Incorrectly simplifying the result.
After getting the result, make sure to simplify the fraction if possible.
This means dividing both the numerator and denominator by their greatest common divisor.
Mistake 4
Relying too heavily on the calculator and not checking the results.
While calculators provide quick results, always double-check your answers, especially when dealing with small fractions or decimals.
Mistake 5
Assuming all calculators handle mixed fractions automatically.
Some calculators may require manual conversion of mixed fractions to improper fractions.
Make sure to understand the workings of your calculator.
Adding and Subtracting Fractions Calculator Examples
Problem 1
What is the sum of 1/4 and 2/3?
Use the formula: (1/4) + (2/3) = ((1×3) + (2×4)) / (4×3) = (3 + 8) / 12 = 11/12 Therefore, the sum is 11/12.
Explanation
By converting the fractions to have a common denominator of 12, we add the numerators to get 11/12.
Problem 2
Subtract 5/8 from 3/4.
Use the formula: (3/4) - (5/8) = ((3×2) - (5×1)) / (4×2) = (6 - 5) / 8 = 1/8 Therefore, the difference is 1/8.
Explanation
After converting the fractions to have a common denominator of 8, subtract the numerators to get 1/8.
Problem 3
Add 7/10 and 9/20.
Use the formula: (7/10) + (9/20) = ((7×2) + (9×1)) / (10×2) = (14 + 9) / 20 = 23/20 Therefore, the sum is 23/20 or 1 3/20 as a mixed number.
Explanation
Converting to a common denominator of 20 allows us to add the numerators, resulting in 23/20.
Problem 4
Subtract 3/5 from 7/10.
Use the formula: (7/10) - (3/5) = ((7×1) - (3×2)) / (10×1) = (7 - 6) / 10 = 1/10 Therefore, the difference is 1/10.
Explanation
After converting to a common denominator of 10, subtracting the numerators gives us 1/10.
Problem 5
What is the sum of 2/7 and 4/9?
Use the formula: (2/7) + (4/9) = ((2×9) + (4×7)) / (7×9) = (18 + 28) / 63 = 46/63 Therefore, the sum is 46/63.
Explanation
Converting to a common denominator of 63 allows us to add the numerators, resulting in 46/63.
FAQs on Using the Adding and Subtracting Fractions Calculator
1.How do you add fractions with different denominators?
2.Can you subtract fractions without a calculator?
3.Why is it necessary to convert mixed numbers?
4.How do I use an adding and subtracting fractions calculator?
5.Is the fractions calculator always accurate?
Glossary of Terms for the Adding and Subtracting Fractions Calculator
- Adding and Subtracting Fractions Calculator: A tool that automates the process of finding common denominators and performing operations on fractions.
- Common Denominator: A shared multiple of the denominators of two or more fractions.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
- Mixed Number: A whole number combined with a fraction, representing a value greater than one.
- Simplification: The process of reducing a fraction to its simplest form.
Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
