Select Operation
Enter Fractions
Step-by-Step Solution
Step 1: Find the common denominator
LCD of 2 and 4 = 4
Step 2: Convert fractions
1/2 = 2/4
1/4 = 1/4
Step 3: Add numerators
2 + 1 = 3
Step 4: Simplify
3/4 = 3/4
Result: 3/4 = 0.7500
Common Fraction-Decimal Equivalents
Common Fraction Calculations
Quick-start with common scenarios
Practice Fraction Problems
Test your skills with practice problems
Practice with 5 problems to test your understanding.
Result
Answer
3/4
?How to Calculate with Fractions
To add fractions, find a common denominator, convert both fractions, add numerators, and simplify. To multiply fractions, multiply numerators together and denominators together. To divide fractions, multiply by the reciprocal of the second fraction. Always simplify the result by dividing numerator and denominator by their GCF.
What is a Fraction?
A fraction represents a part of a whole, written as a numerator (top number) over a denominator (bottom number). Fraction arithmetic involves adding, subtracting, multiplying, and dividing these expressions. Fractions can be proper (numerator < denominator), improper (numerator >= denominator), or mixed numbers (whole number plus fraction).
Key Facts About Fractions
- To add/subtract fractions: find common denominator, convert, then add/subtract numerators
- To multiply fractions: multiply numerators, multiply denominators, simplify
- To divide fractions: multiply by the reciprocal (flip the second fraction)
- Simplify by dividing numerator and denominator by their GCF
- Mixed numbers = whole number + fraction (e.g., 2 1/2 = 5/2)
- Convert to decimal: divide numerator by denominator
- Common denominator = LCM of the denominators
- Equivalent fractions have the same value (1/2 = 2/4 = 3/6)
Quick Answer
To add fractions, find a common denominator, convert both fractions, add numerators, and simplify. To multiply fractions, multiply numerators together and denominators together. To divide fractions, multiply by the reciprocal of the second fraction. Always simplify the result by dividing numerator and denominator by their GCF.
Frequently Asked Questions
How do I add fractions?
To add fractions: 1) Find a common denominator (LCD), 2) Convert each fraction to equivalent fractions with the LCD, 3) Add the numerators, 4) Keep the denominator, 5) Simplify if possible. Example: 1/4 + 1/2 = 1/4 + 2/4 = 3/4.
How do I multiply fractions?
Multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together. Then simplify if possible. Example: 2/3 × 3/4 = 6/12 = 1/2.
How do I divide fractions?
To divide fractions, multiply by the reciprocal of the second fraction (flip it). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Remember: "Keep, Change, Flip."
What is a mixed number?
A mixed number combines a whole number and a proper fraction, like 2 1/3. To convert an improper fraction (like 7/3) to a mixed number: divide numerator by denominator. The quotient is the whole number, the remainder is the new numerator.
How do I simplify a fraction?
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it. Example: 12/18 - GCD is 6 - so 12/18 = 2/3. A fraction is fully simplified when the GCD is 1.
Last updated: 2026-01-15
Related Math Tools
Explore similar calculators
How this works
Exact-arithmetic operations on fractions: add, subtract, multiply, divide, and simplify. Result is always returned in lowest terms via Euclidean GCD.
Sources
- [1]NIST Digital Library of Mathematical FunctionsAcademicdlmf.nist.govAccessed Apr 21, 2026
Full-stack software engineer specializing in embedded systems, web architecture, and AI/ML. Founder of Practical Web Tools. Built the gesture-controlled drone IP acquired by KD Interactive (Aura Drone, sold on Amazon).