Fraction

Q: 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 x 3/4 = (2x3)/(3x4) = 6/12 = 1/2. Simplify the result if possible.

Q: What is a simplified fraction?

A simplified fraction is one where the numerator and denominator have no common factors other than 1 (they are coprime). For example, 6/8 simplifies to 3/4 by dividing both numerator and denominator by their GCD, which is 2. A fraction in its simplest form will have the smallest possible whole number numerator and denominator.

Q: What is the difference between proper and improper fractions?

A proper fraction has a numerator smaller than the denominator (e.g., 3/4, value = 1). Improper fractions can be converted to mixed numbers (e.g., 5/4 = 11/4).

Perform arithmetic operations with fractions: add, subtract, multiply, and divide. Free online fraction calculator shows simplified results, decimal conversion, and step-by-step working.

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Denominator 1:

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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, and step-by-step working.

The calculator handles proper fractions (value < 1), improper fractions (value >= 1), and automatically simplifies the result to lowest terms using the greatest common divisor. A pie chart visual shows the fraction as a portion of a whole, making it easier to understand the result visually.

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.

Frequently Asked Questions

How do you add fractions?

To add fractions with different denominators: find the least common denominator (LCD), convert each fraction, add the numerators, and simplify. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

How do you multiply fractions?

To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 x 3/4 = (2x3)/(3x4) = 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 x 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 < denominator (value < 1). An improper fraction has numerator >= denominator (value >= 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.