Math ToolPopular

Fraction Calculator

Add, subtract, multiply, and divide fractions with instant simplified results.

Input Parameters

Calculation Results

Simplified Fraction
5/4
Decimal Value
1.25
Mixed Number
1 1/4
Summary: (3/4) + (1/2) = 5/4 (1.25)
Step-by-Step Calculation Solution
1.Original operation: (3/4) + (1/2)
2.Raw result: (3 × 2 + 1 × 4) / (4 × 2) = 10/8
3.GCD for reduction: 2
4.Reduced fraction: 5/4

Formula & How Fraction Calculator Works

Mathematical Formula
Addition: (a/b) + (c/d) = (ad + bc) / (bd)

To add or subtract fractions, find a common denominator by multiplying denominators (b × d). For multiplication, multiply numerators together and denominators together. For division, multiply by the reciprocal.

How to Calculate Fraction Calculator (Step-by-Step)
  1. Enter Numerator 1 (N1): Input your target parameter value.
  2. Enter Denominator 1 (D1): Input your target parameter value.
  3. Enter Operation: Input your target parameter value.
  4. Enter Numerator 2 (N2): Input your target parameter value.
  5. Enter Denominator 2 (D2): Input your target parameter value.
  6. Apply Formula: Calculate using Addition: (a/b) + (c/d) = (ad + bc) / (bd).
  7. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

How do you simplify a fraction?

Divide both numerator and denominator by their Greatest Common Divisor (GCD).

Can a denominator be zero?

No, division by zero is mathematically undefined.

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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