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Fraction Calculator

Add, subtract and simplify fractions.

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Parameters

Calculation Results

total Value

112

interest Amount

12

invested Amount

100

Calculator Guide & Math

1How Fraction Arithmetic and Simplification Works

Fractions represent numerical proportions where a numerator represents the number of equal parts, and a denominator represents the total parts dividing a unit whole. Adding, subtracting, multiplying, or dividing fractions requires specific algebraic steps to find common bases and simplify components.

Formula & Math Explanation

Addition: a/b + c/d = (ad + bc) / bd | Division: a/b ÷ c/d = ad / bc
  • •a, c = Numerators (top digits representing parts in hand)
  • •b, d = Denominators (bottom digits representing total slices in the whole)
  • •Simplification = Dividing numerator and denominator by their Greatest Common Divisor (GCD).

2Step-by-Step Fraction Example

You want to add 3/8 and 5/12.

  1. Find the Least Common Denominator (LCD) of 8 and 12, which is 24.
  2. Convert 3/8: multiply top and bottom by 3 to get 9/24.
  3. Convert 5/12: multiply top and bottom by 2 to get 10/24.
  4. Add the numerators together over the common base: (9 + 10) / 24 = 19/24.
Result Summary: The sum of 3/8 and 5/12 is 19/24. This is a proper fraction and cannot be simplified further, representing 0.7917 as a decimal.

Fractions Arithmetic FAQ

An improper fraction is a fraction where the numerator is larger than or equal to the denominator (e.g., 5/4). It represents values greater than or equal to 1, and can be converted into a mixed number (1 1/4).