What is a Fraction? How to Calculate Fraction online in Fraction Calculator?
A fraction represents a part of a whole or, more generally, any number of equal parts. It consists of a numerator (the top part) and a denominator (the bottom part). The numerator indicates how many parts of the whole are being considered, while the denominator indicates how many equal parts the whole is divided into.
Definition by Mathematicians:
- Euclid (circa 300 BCE): Euclid, the “Father of Geometry,” used fractions in the context of ratios in his book Elements. His work laid the foundation for understanding fractions as parts of a whole.
- Leonardo of Pisa (Fibonacci) (1170–1250): Fibonacci introduced the use of fractions in arithmetic calculations, particularly through his famous work Liber Abaci.
- John Napier (1550–1617): Napier, best known for his invention of logarithms, used fractions extensively in his mathematical tables.
Fraction Calculator Online
A Fraction Calculator online is a specialized tool that helps you perform arithmetic operations on fractions, such as addition, subtraction, multiplication, and division. These calculators are particularly useful for simplifying fractions, converting mixed numbers to improper fractions, and performing complex calculations with ease.
How to Use the Fraction Calculator Online
Using the Fraction Calculator online is straightforward:
- Enter the Numerators: Input the numerators of the two fractions you want to calculate.
- Enter the Denominators: Input the denominators of the two fractions.
- Select the Operation: Choose the operation you want to perform: addition, subtraction, multiplication, or division.
- Calculate the Result: The calculator will provide the result in fractional form.
Example of Fraction Operations
Let’s say you want to add the fractions 1/2 and 3/4.
Multiply the numerator of the first fraction by the denominator of the second fraction: 1×4=41 \times 4 = 41×4=4
Multiply the numerator of the second fraction by the denominator of the first fraction: 3×2=63 \times 2 = 63×2=6
Multiply both denominators together: 2×4=82 \times 4 = 82×4=8
Add the two results from step 1 and 2 to get the numerator of the result: 4+6=104 + 6 = 104+6=10
The result is 10/8, which simplifies to 5/4 or 1 1/4.
FAQs on Fraction Calculator Online
Q1: Can I use the Fraction Calculator to simplify fractions? Yes, you can. The calculator can simplify fractions automatically after performing the arithmetic operation.
Q2: How do I convert a mixed number into an improper fraction? You can enter the mixed number as a sum of its integer part and fractional part in the calculator, and it will handle the conversion for you.
Q3: Is the Fraction Calculator accurate? Absolutely, the Fraction Calculator uses precise arithmetic operations to ensure accuracy in every calculation.