Free Fraction Calculator — Add, Subtract, Multiply & Divide | NovaCalculator
Perform fraction arithmetic instantly. Add, subtract, multiply, and divide fractions and mixed numbers with step-by-step solutions and simplified results.
Formula
a/b ± c/d = (ad ± bc) / bd
Add/subtract by finding common denominator. Multiply numerators and denominators. Divide by multiplying by reciprocal.
Worked Examples
Example 1: Adding Fractions
Problem:Calculate 2/3 + 3/4.
Solution:Find LCD of 3 and 4: LCD = 12\n\n2/3 = 8/12\n3/4 = 9/12\n\n8/12 + 9/12 = 17/12 = 1 5/12
Result:17/12 = 1 5/12
Example 2: Multiplying Mixed Numbers
Problem:Calculate 1 1/2 × 2 1/3.
Solution:Convert to improper fractions:\n1 1/2 = 3/2\n2 1/3 = 7/3\n\n3/2 × 7/3 = 21/6 = 7/2 = 3 1/2
Result:7/2 = 3 1/2
Example 3: Dividing Fractions
Problem:Calculate 3/4 ÷ 1/2.
Solution:Multiply by reciprocal:\n3/4 ÷ 1/2 = 3/4 × 2/1\n\n= 6/4 = 3/2 = 1 1/2
Result:3/2 = 1 1/2
Frequently Asked Questions
How do I add fractions with different denominators?
Find the LCD (least common denominator), convert both fractions to equivalent fractions with the LCD, then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do I multiply fractions?
Multiply the numerators together, then multiply the denominators together. Simplify if possible. Example: 2/3 × 3/4 = 6/12 = 1/2.
How do I divide fractions?
Multiply by the reciprocal (flip the second fraction). Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2.
What is an improper fraction?
A fraction where the numerator is larger than the denominator (e.g., 7/4). It can be converted to a mixed number: 7/4 = 1 3/4.