Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step simplification, decimal conversion, and visual pie chart. Free online fraction arithmetic calculator for students and professionals.
About This Calculator
This Fraction Calculator performs arithmetic operations on two fractions: addition, subtraction, multiplication, and division. Enter the numerators and denominators for both fractions, choose the operator, and get the result as a simplified fraction, a decimal value, visual pie chart, comparison bar chart, and step-by-step working showing every calculation.
The calculator handles proper fractions (value less than 1), improper fractions (value greater than or equal to 1), and automatically simplifies the result to lowest terms using the greatest common divisor (GCD). A pie chart visual shows the fraction as a portion of a whole, while a comparison bar chart lets you compare the two input fractions against the result. Each calculation step is displayed, from finding common denominators for addition and subtraction to applying the reciprocal for division.
Fraction arithmetic is fundamental across all levels of education -- from elementary school introducing the concept of parts of a whole, through middle school operations with fractions, to algebra and beyond where fractions appear in equations and expressions. This calculator is designed to help students check their work, teachers demonstrate concepts, and anyone who needs quick fraction calculations with clear visual feedback.
Regional Notes: Fractions are taught universally across all education systems. In India, fractions are introduced in CBSE Class 3-4 and refined through Class 7. In the US, Common Core Standards introduce fractions in Grade 3 and continue through Grade 7. In the UK, the National Curriculum covers fractions from Key Stage 1 through Key Stage 3. Regardless of the curriculum, the mathematical operations for adding, subtracting, multiplying, and dividing fractions are identical worldwide.
Frequently Asked Questions
How do you add fractions?
To add fractions with different denominators: find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, add the numerators, and simplify the result. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do you multiply fractions?
To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9.
What is a simplified fraction?
A simplified fraction has no common factors between numerator and denominator other than 1. For example, 6/8 simplifies to 3/4 by dividing both by their GCD of 2.
What is the difference between proper and improper fractions?
A proper fraction has numerator less than denominator (value less than 1). An improper fraction has numerator greater than or equal to denominator (value greater than or equal to 1).
How do you find a common denominator?
The common denominator is the least common multiple (LCM) of the denominators. For fractions with denominators 3 and 4, the LCM is 12.