Fraction Calculator

Fraction Calculator - Free Online Calculator

The Fraction Calculator lets you add, subtract, multiply and divide fractions online and get the answer in its simplest form. Fractions are an essential part of mathematics from primary school to board exams and competitive aptitude tests, and they also appear in daily life, from recipes and measurements to sharing costs. This tool solves fraction problems instantly and accurately. What is a Fraction? A fraction represents a part of a whole. It is written as a/b, where a is the numerator (the number of parts taken) and b is the denominator (the total number of equal parts). For example, 3/4 means 3 parts out of 4 equal parts. Types of Fractions • Proper fraction: the numerator is smaller than the denominator, such as 2/5. • Improper fraction: the numerator is greater than or equal to the denominator, such as 7/4. • Mixed fraction: a whole number with a proper fraction, such as 1 3/4 (equal to 7/4). • Like fractions: fractions with the same denominator, such as 2/7 and 5/7. • Unlike fractions: fractions with different denominators, such as 1/3 and 1/4. • Equivalent fractions: fractions that have the same value, such as 1/2, 2/4 and 4/8. Fraction Formulas • Addition: a/b + c/d = (ad + bc) / bd • Subtraction: a/b − c/d = (ad − bc) / bd • Multiplication: a/b × c/d = ac / bd • Division: a/b ÷ c/d = a/b × d/c = ad / bc After calculating, the result is simplified by dividing the numerator and denominator by their Greatest Common Divisor (GCD). How to Use the Fraction Calculator? 1. Enter the first fraction (numerator and denominator). 2. Select the operation: addition, subtraction, multiplication or division. 3. Enter the second fraction. 4. The calculator shows the result in its simplest form instantly. Solved Examples • Addition: 1/2 + 1/3 = (3 + 2)/6 = 5/6 • Subtraction: 3/4 − 1/8 = (6 − 1)/8 = 5/8 • Multiplication: 2/3 × 3/5 = 6/15 = 2/5 • Division: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2 • Mixed: 1 1/2 + 2/3 = 3/2 + 2/3 = 13/6 = 2 1/6 How to Simplify a Fraction? Find the GCD of the numerator and denominator and divide both by it. For example, for 18/24 the GCD is 6, so 18/24 = 3/4. How to Convert a Fraction into a Decimal or Percentage? Divide the numerator by the denominator to get a decimal, then multiply by 100 for a percentage. For example, 3/8 = 0.375 = 37.5%. Where are Fractions Used? • School maths, board exams and competitive exams such as SSC, banking and CAT. • Cooking and recipes (1/2 cup, 3/4 teaspoon). • Measurements in carpentry, tailoring and construction (5/8 inch). • Finance, such as interest rates, shares and ratios. • Time, such as a quarter of an hour. The Fraction Calculator is free, fast and easy to use on any device. Check the FAQs below for more help with fractions.