103 LearnersLast updated on June 25th, 2025
Dividing 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 dividing fractions calculators.
What is a Dividing Fractions Calculator?
A dividing fractions calculator is a tool to simplify the process of dividing one fraction by another. Since dividing fractions involves flipping the second fraction (finding the reciprocal) and then multiplying, this calculator makes the process much easier and faster, saving time and effort.
How to Use the Dividing Fractions Calculator?
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the fractions: Input the numerator and denominator of each fraction into the given fields.
Step 2: Click on calculate: Click on the calculate button to perform the division and get the result.
Step 3: View the result: The calculator will display the result instantly.
How to Divide Fractions?
To divide one fraction by another, there is a simple formula that the calculator uses. You need to multiply the first fraction by the reciprocal of the second fraction.
If you have two fractions, a/b and c/d, the division is performed as follows:
(a/b) ÷ (c/d) = (a/b) × (d/c) = (a × d) / (b × c)
This method involves flipping the second fraction and then multiplying the numerators and denominators.
Tips and Tricks for Using the Dividing Fractions Calculator
When we use a dividing fractions calculator, there are a few tips and tricks that we can use to make it a bit easier and avoid errors:
- Always ensure both fractions are simplified before inputting them.
- Remember to flip the second fraction before multiplying manually.
- Use the calculator to check manual calculations for accuracy.
Common Mistakes and How to Avoid Them When Using the Dividing 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
Forgetting to flip the second fraction.
Always remember to take the reciprocal of the second fraction before multiplying. Failing to do so will give incorrect results.
Mistake 2
Not simplifying the fractions.
Ensure that both fractions are in their simplest form before performing the division to avoid complex calculations.
Mistake 3
Incorrectly entering fractions into the calculator.
Double-check that the numerators and denominators are entered in the correct fields to ensure accurate results.
Mistake 4
Relying too heavily on the calculator without understanding the process.
Understanding the underlying process of dividing fractions helps in verifying the calculator's results and ensures comprehension.
Mistake 5
Assuming the calculator accounts for mixed numbers.
Convert mixed numbers to improper fractions before using the calculator to ensure accurate results.
Dividing Fractions Calculator Examples
Problem 1
How do you divide 3/4 by 2/5?
Use the formula: (3/4) ÷ (2/5) = (3/4) × (5/2) = (3 × 5) / (4 × 2) = 15/8
Therefore, 3/4 divided by 2/5 is 15/8 or 1 7/8 as a mixed number.
Explanation
By flipping the second fraction and multiplying, we get the result as 15/8, which can be expressed as a mixed number if needed.
Problem 2
Divide 5/6 by 1/3.
Use the formula: (5/6) ÷ (1/3) = (5/6) × (3/1) = (5 × 3) / (6 × 1) = 15/6
Therefore, 5/6 divided by 1/3 is 15/6, which simplifies to 5/2 or 2 1/2.
Explanation
After flipping and multiplying, simplify the fraction to get the final result.
Problem 3
What is 7/8 divided by 3/4?
Use the formula: (7/8) ÷ (3/4) = (7/8) × (4/3) = (7 × 4) / (8 × 3) = 28/24
Therefore, 7/8 divided by 3/4 is 28/24, which simplifies to 7/6 or 1 1/6.
Explanation
Dividing by flipping the second fraction and multiplying gives a fraction that can be further simplified.
Problem 4
Find the result of 9/10 divided by 3/5.
Use the formula: (9/10) ÷ (3/5) = (9/10) × (5/3) = (9 × 5) / (10 × 3) = 45/30
Therefore, 9/10 divided by 3/5 is 45/30, which simplifies to 3/2 or 1 1/2.
Explanation
The division results in a fraction that can be simplified to a mixed number.
Problem 5
Calculate 11/12 divided by 4/9.
Use the formula: (11/12) ÷ (4/9) = (11/12) × (9/4) = (11 × 9) / (12 × 4) = 99/48
Therefore, 11/12 divided by 4/9 is 99/48, which simplifies to 33/16 or 2 1/16.
Explanation
After performing the division, simplify the fraction to get the final result.
FAQs on Using the Dividing Fractions Calculator
1.How do you divide fractions?
2.Can you divide a fraction by a whole number?
3.What is the reciprocal of a fraction?
4.How do I use a dividing fractions calculator?
5.Is the dividing fractions calculator accurate?
Glossary of Terms for the Dividing Fractions Calculator
- Dividing Fractions Calculator: A tool used to divide two fractions by multiplying the first fraction by the reciprocal of the second fraction.
- Reciprocal: The inverse of a fraction, obtained by swapping the numerator and denominator.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
- Mixed Number: A number composed of an integer and a proper fraction.
- Simplification: The process of reducing a fraction to its simplest form.
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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
