Simplifying Fractions Calculator – Get Simplest Form Fast

Latest Updates

Book Free Demo :

One-to-One Learning - Any Topic, Any Time

How to Simplify Fractions and See Each Step Explained

Simplifying Fractions Calculator

What is Simplifying Fractions Calculator?

The Simplifying Fractions Calculator is a free online math tool that helps you reduce any fraction to its lowest terms. By entering a numerator and a denominator, you can instantly see the simplest form of your fraction.

This calculator is designed for fast, accurate results and to show every calculation step clearly. It is useful for students, teachers, and anyone who handles fractions in daily math, homework, or exams.

Formula or Logic Behind Simplifying Fractions Calculator

The main logic behind simplifying fractions is to find the greatest common divisor (GCD) of the numerator and denominator. You then divide both numbers by their GCD to get the simplest form.

For any fraction a/b, the formula is:
Simplest Form = (a ÷ GCD) / (b ÷ GCD)

This method ensures the numerator and denominator share no common factor except 1, making the fraction as short and clear as possible.

Common Fractions and Their Simplest Forms

Original Fraction	Simplest Form	Process
20 / 100	1 / 5	GCD(20,100)=20 → 20/20 / 100/20 = 1/5
9 / 15	3 / 5	GCD(9,15)=3 → 9/3 / 15/3 = 3/5
18 / 24	3 / 4	GCD(18,24)=6 → 18/6 / 24/6 = 3/4
3 / 8	3 / 8	GCD(3,8)=1 (Already in simplest form)
45 / 10	9 / 2 Mixed: 4 1/2	GCD(45,10)=5 → 45/5 / 10/5 = 9/2; 9/2 = 4 1/2

Steps to Use the Simplifying Fractions Calculator

Enter the numerator (top number) and denominator (bottom number) of your fraction.
Click on the 'Simplify' button.
Get the simplest form instantly, along with calculation steps and even mixed number form if applicable.

Why Use Vedantu’s Simplifying Fractions Calculator?

Vedantu’s calculator is easy to use, fully mobile-friendly, and works instantly. No registration or downloads are needed.

Students across India trust Vedantu for fast and accurate fraction simplification, especially useful for quick homework help, school projects, and exam practice.

Detailed breakdowns and real-life examples make learning accessible for everyone.

Real-life Applications of Simplifying Fractions Calculator

Knowing how to reduce fractions is important for cooking recipes, splitting bills, calculating exam marks, or finding discounts in shopping.

The calculator is also useful in competitive exams, science, finance, and day-to-day problem solving where clear ratios or proportions are needed.

If you need to quickly check answers for classwork or real-world math problems, this tool saves time and reduces errors.

You can deepen your math concepts with related tools from Vedantu, such as the HCF Calculator for finding the greatest common factor, or explore more about prime numbers and factors to understand the logic of simplification.

For wider topics in algebra and arithmetic, you might also like the Algebra Topics page and the Fraction Calculator for other fraction operations beyond simplification.

FAQs on Simplifying Fractions Calculator – Get Simplest Form Fast

1. How do you simplify fractions?

Simplifying a fraction means reducing it to its lowest terms. This is done by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. For example, to simplify 12/18, the GCD is 6. Dividing both 12 and 18 by 6 gives the simplified fraction 2/3.

2. How to write a fraction in lowest terms?

Writing a fraction in its lowest terms is the same as simplifying it. Find the greatest common factor (GCF) of the numerator and denominator, and divide both by that number. The resulting fraction will be in lowest terms, meaning no other number besides 1 can divide both the numerator and denominator evenly.

3. How to simplify 20/100?

To simplify 20/100, find the greatest common divisor (GCD) of 20 and 100, which is 20. Divide both the numerator and the denominator by 20: 20 ÷ 20 = 1 and 100 ÷ 20 = 5. Therefore, the simplified fraction is 1/5.

4. How to simplify 9/15?

The greatest common divisor (GCD) of 9 and 15 is 3. Divide both the numerator and denominator by 3: 9 ÷ 3 = 3 and 15 ÷ 3 = 5. The simplified fraction is 3/5.

5. Can you simplify 3/8?

3/8 is already in its simplest form. The greatest common divisor (GCD) of 3 and 8 is 1, and dividing by 1 doesn't change the fraction.

6. What is the simplest form of 462/1078?

To find the simplest form of 462/1078, we need to find the greatest common divisor (GCD) of 462 and 1078. The GCD is 2. Dividing both numbers by 2 gives us 231/539. This fraction might still be simplifiable further. The next largest common divisor is 1. So, 231/539 is already in the simplest form.

7. How do I simplify an improper fraction?

To simplify an improper fraction (where the numerator is larger than the denominator), first, convert it to a mixed number (a whole number and a fraction). Then, simplify the fractional part of the mixed number by finding the greatest common divisor (GCD) of its numerator and denominator and dividing both by that GCD. If you prefer, you can simplify the improper fraction directly by finding the GCD of the numerator and denominator and dividing both by it, but often converting to a mixed number first makes it easier.

8. What is the simplest form of a fraction?

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. In other words, the fraction cannot be reduced any further. For example, 1/2 is in simplest form, while 2/4 is not (it simplifies to 1/2).

9. What does it mean to reduce a fraction?

Reducing a fraction means simplifying it to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. Reducing a fraction doesn't change its value; it just makes it easier to work with.

10. How to simplify fractions step by step?

1. **Find the GCD:** Determine the greatest common divisor (GCD) of the numerator and denominator. 2. **Divide:** Divide both the numerator and denominator by the GCD. 3. **Simplify:** Write the result as the simplified fraction. For example, for 12/18: 1. GCD(12, 18) = 6; 2. 12 ÷ 6 = 2 and 18 ÷ 6 = 3; 3. Simplified fraction = 2/3.

11. How to simplify mixed numbers?

To simplify a mixed number, first convert it into an improper fraction. Then, simplify the improper fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by the GCD. For example, to simplify 2 1/4, convert it to 9/4. Then, since the GCD(9,4) is 1, the fraction is already simplified. Another example: 3 6/9 is converted to 33/9. The GCD(33,9) is 3. Dividing by 3 gives 11/3, which is now simplified.