Math

Fraction Calculator

Perform fraction addition, subtraction, multiplication, and division operations, and simplify results to lowest terms

Numerator 1*Top number of the first fraction

Denominator 1*Bottom number of the first fraction (cannot be zero)

Operation*Select mathematical operator

Numerator 2*Top number of the second fraction

Denominator 2*Bottom number of the second fraction (cannot be zero)

Fraction Result

1 and 1/4 (5/4)

Result in simplified fraction form

Decimal Result

1.250000

Result in decimal form

Step-by-step calculation explanation

Item	Value
Problem Statement The mathematical expression to evaluate	(1/2) + (3/4)
Find Common Denominator Multiply denominators to get common denominator: 8	(1×4) / (2×4) + (3×2) / (4×2)
Add Numerators Sum of numerators: 10	(4 + 6) / 8
Simplify Fraction Greatest Common Divisor (GCD) is 2. Divided both terms by 2.	5/4

Addition: a/b + c/d = (ad + bc)/bd
Subtraction: a/b - c/d = (ad - bc)/bd
Multiplication: a/b × c/d = ac/bd
Division: a/b ÷ c/d = ad/bc

Supported inputs

Input	Description
Numerator 1	Top number of the first fraction
Denominator 1	Bottom number of the first fraction (cannot be zero)
Operation	Select mathematical operator Add (+) · Subtract (-) · Multiply (×) · Divide (÷)
Numerator 2	Top number of the second fraction
Denominator 2	Bottom number of the second fraction (cannot be zero)

Formula

Addition: a/b + c/d = (ad + bc)/bd
Subtraction: a/b - c/d = (ad - bc)/bd
Multiplication: a/b × c/d = ac/bd
Division: a/b ÷ c/d = ad/bc

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