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Fraction Calculator

Work with fractions easily

Result

3/4

Decimal

0.7500

Mixed

3/4

Operation

+

First Fraction

+

Second Fraction

Result

3
4

≈ 0.7500

Visual Representation

1/2

1/4

Result: 3/4

75.0% filled

Quick Reference

½ = 0.5
⅓ = 0.333...
¼ = 0.25
⅕ = 0.2

Formulas Used

Fraction Addition

a/b + c/d = (a*d + c*b) / (b*d)

Add two fractions by cross-multiplying and combining over a common denominator, then simplify by dividing by the GCD.

Where:

a/b= First fraction (numerator a, denominator b)
c/d= Second fraction (numerator c, denominator d)
GCD= Greatest Common Divisor, used to simplify the result

Fraction Multiplication

a/b × c/d = (a*c) / (b*d)

Multiply two fractions by multiplying numerators together and denominators together, then simplify.

Where:

a/b= First fraction
c/d= Second fraction

Fraction Division

a/b ÷ c/d = a/b × d/c = (a*d) / (b*c)

Divide fractions by flipping the second fraction (reciprocal) and multiplying.

Where:

a/b= Dividend (fraction being divided)
c/d= Divisor (fraction dividing by)
d/c= Reciprocal of the divisor

Example Calculations

1Adding Fractions: 1/2 + 1/4

Inputs

First Fraction1/2
OperationAdd (+)
Second Fraction1/4

Result

Result3/4
Decimal0.7500

Cross-multiply: (1*4 + 1*2) / (2*4) = 6/8. Simplify by GCD of 2: 6/2 = 3, 8/2 = 4. Result is 3/4 = 0.7500.

2Multiplying Fractions: 2/3 × 3/5

Inputs

First Fraction2/3
OperationMultiply (×)
Second Fraction3/5

Result

Result2/5
Decimal0.4000

Multiply numerators: 2*3 = 6. Multiply denominators: 3*5 = 15. Simplify 6/15 by GCD of 3: 2/5 = 0.4000.

3Dividing Fractions: 3/4 ÷ 1/2

Inputs

First Fraction3/4
OperationDivide (÷)
Second Fraction1/2

Result

Result3/2
Decimal1.5000
Mixed Number1 1/2

Flip the second fraction: 1/2 becomes 2/1. Multiply: (3×2)/(4×1) = 6/4. Simplify by GCD of 2: 3/2 = 1.5000. As a mixed number: 1 1/2.

4Subtracting Fractions: 5/6 - 1/3

Inputs

First Fraction5/6
OperationSubtract (−)
Second Fraction1/3

Result

Result1/2
Decimal0.5000

Cross-multiply: (5×3 - 1×6) / (6×3) = (15 - 6) / 18 = 9/18. Simplify by GCD of 9: 1/2 = 0.5000.

Frequently Asked Questions

Q

How do I add and subtract fractions?

Same denominator: Add/subtract numerators, keep denominator. Different denominators: Find common denominator, convert, then add/subtract. Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12.

  • Same denominator: Add numerators, keep denominator
  • Different denominators: Find LCD (Least Common Denominator)
  • Convert each fraction to equivalent with LCD
  • Add/subtract numerators
  • Simplify the result
ProblemStep 1: Find LCDStep 2: ConvertAnswer
1/4 + 1/4Same (4)1/4 + 1/42/4 = 1/2
1/3 + 1/4LCD = 124/12 + 3/127/12
2/3 - 1/6LCD = 64/6 - 1/63/6 = 1/2
3/4 + 2/5LCD = 2015/20 + 8/2023/20 = 1 3/20
Q

How do I multiply and divide fractions?

Multiply: Multiply numerators, multiply denominators. 2/3 × 4/5 = 8/15. Divide: Flip the second fraction and multiply. 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

  • Multiply: Numerator × Numerator, Denominator × Denominator
  • Divide: Flip second fraction (reciprocal), then multiply
  • Cancel before multiplying to simplify
  • Mixed numbers: Convert to improper fractions first
OperationExampleProcessAnswer
Multiply2/3 × 3/4(2×3)/(3×4)6/12 = 1/2
Multiply4/5 × 5/8(4×5)/(5×8)20/40 = 1/2
Divide2/3 ÷ 4/52/3 × 5/410/12 = 5/6
Divide3/4 ÷ 1/23/4 × 2/16/4 = 1 1/2
Q

How do I simplify fractions?

Find the Greatest Common Factor (GCF) of numerator and denominator. Divide both by GCF. Example: 12/18 → GCF is 6 → 12÷6 / 18÷6 = 2/3. Fraction is simplified when GCF = 1.

  • Find GCF of numerator and denominator
  • Divide both by GCF
  • Check: If both are even, divide by 2
  • Check: If both divisible by 3, divide by 3
  • Continue until no common factors remain
FractionGCFSimplified
4/841/2
15/2553/5
12/1862/3
24/36122/3
7/2171/3
Q

How do I convert fractions to decimals and percentages?

Fraction to decimal: Divide numerator by denominator. 3/4 = 3 ÷ 4 = 0.75. Decimal to percent: Multiply by 100. 0.75 × 100 = 75%. So 3/4 = 0.75 = 75%.

  • Divide numerator by denominator = decimal
  • Multiply decimal by 100 = percent
  • Some fractions are repeating decimals (1/3 = 0.333...)
  • Memorize common fractions: 1/4=0.25, 1/2=0.5, 3/4=0.75
FractionDecimalPercent
1/40.2525%
1/30.333...33.33%
1/20.550%
2/30.666...66.67%
3/40.7575%
7/80.87587.5%
Q

How do I convert mixed numbers to improper fractions?

Mixed number (2 3/4): Multiply whole number by denominator, add numerator, keep denominator. 2 3/4 = (2×4 + 3)/4 = 11/4. Reverse: Divide numerator by denominator for whole number, remainder is new numerator.

  • Mixed → Improper: (Whole × Denominator + Numerator) / Denominator
  • Improper → Mixed: Divide numerator by denominator
  • Quotient = Whole number, Remainder = New numerator
  • Example: 11/4 = 11÷4 = 2 remainder 3 = 2 3/4
Mixed NumberCalculationImproper Fraction
1 1/2(1×2+1)/23/2
2 3/4(2×4+3)/411/4
3 2/5(3×5+2)/517/5
5 1/3(5×3+1)/316/3
Q

How do I compare fractions?

Same denominator: Larger numerator is larger. Different denominators: Convert to common denominator, then compare. Or convert to decimals: 3/4 = 0.75, 4/5 = 0.80, so 4/5 > 3/4.

  • Same denominator: Compare numerators
  • Different denominators: Find common denominator
  • Cross multiply: a/b vs c/d → compare a×d to b×c
  • Convert to decimals for quick comparison
CompareMethodResult
3/4 vs 5/824/32 vs 20/323/4 > 5/8
2/3 vs 3/48/12 vs 9/123/4 > 2/3
5/6 vs 7/80.833 vs 0.8757/8 > 5/6

Fraction Math

Fractions show up in cooking, construction, and many other fields. Understanding fraction operations makes everyday tasks much easier.

The key to adding and subtracting fractions is finding a common denominator. For multiplication, simply multiply straight across. For division, flip and multiply.

Practice simplifying fractions by finding the greatest common factor. This makes fractions easier to work with and compare.

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Last Updated: Mar 11, 2026

This calculator is provided for informational and educational purposes only. Results are estimates and should not be considered professional financial, medical, legal, or other advice. Always consult a qualified professional before making important decisions. UseCalcPro is not responsible for any actions taken based on calculator results.

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