Convert Fraction to Percent

Convert fractions to percentages with selectable precision

Fraction → Percent Calculator

What is calculated?

This tool converts a fraction to a percentage. You may include a whole number to form a mixed fraction. The number of decimal places can be chosen.

Enter fraction
Example: 3/4 = 75%
Percentage
Fraction will be converted to a percentage with chosen precision

Fraction → Percent Info

Properties

Conversion rules:

× 100 Selectable precision Mixed numbers % Symbol

Note: Percent means "per hundred". 1% = 1/100 = 0.01

Examples
Half: 1/2 = 50%
Quarter: 1/4 = 25%
Mixed: 1 1/2 = 150%
Complex: 3/8 = 37.5%

Formulas & Rules for Fraction → Percent Conversion

Main formula
\[\frac{a}{b} \times 100 = \%\] Multiply fraction by 100
Mixed number
\[n\frac{a}{b} \times 100 = \%\] Total value times 100
Percent definition
\[1\% = \frac{1}{100} = 0.01\] One hundredth
Inverse
\[% \div 100 = \frac{a}{b}\] Back to fraction
Common fractions
\[\frac{1}{2} = 50\%\] \[\frac{1}{4} = 25\%\] Useful values
More than 100%
\[\frac{3}{2} = 150\%\] Values above whole
Negative percents
\[-\frac{1}{4} = -25\%\] Sign preserved
Rounding
\[\frac{1}{3} \approx 33.33\%\] Repeating fractions

Step-by-step Examples

Example 1: Simple fraction 3/4
Step 1: Convert fraction to decimal
\[\frac{3}{4} = 3 \div 4 = 0.75\]
Step 2: Multiply by 100
\[0.75 \times 100 = 75\]
Step 3: Add percent sign
\[\frac{3}{4} = \color{blue}{75\%}\]
Example 2: Mixed number 1 1/4
Step 1: Convert to decimal
\[1\frac{1}{4} = 1 + 0.25 = 1.25\]
Step 2: Multiply by 100
\[1.25 \times 100 = \color{blue}{125\%}\]
Common conversions
Half:
\[\frac{1}{2} = 50\%\]
Quarter:
\[\frac{1}{4} = 25\%\]
Fifth:
\[\frac{1}{5} = 20\%\]
Eighth:
\[\frac{1}{8} = 12.5\%\]
Practical application
Calculate discount:
1/4 discount = 25% discount

Score in percent:
3/4 of points = 75%
Negative mixed numbers
\[-2\frac{2}{3}\] is interpreted as \[-(2\frac{2}{3})\]
The sign applies to the entire value.
Steps for fraction → percent conversion
1. Fraction → decimal
2. Multiply by 100
3. Round if needed
4. Add % symbol

Percent means "per hundred" — multiply by 100 to convert.

Applications of fraction → percent conversion

Percentages are essential across many everyday contexts:

Commerce & Finance
  • Discounts and offers
  • Interest rates and returns
  • Tax rates
  • Profit and loss margins
Education & Assessment
  • Grades and exam results
  • Attendance rates
  • Success rates
  • Performance comparisons
Statistics & Analysis
  • Survey results
  • Market shares
  • Election outcomes
  • Demographic data
Science & Medicine
  • Concentration values
  • Treatment success rates
  • Body composition
  • Risk assessments

Mathematical context

Description

Converting fractions to percentages is a fundamental operation that expresses rational numbers on a per-100 basis. Percentages standardize comparisons and provide an intuitive scale for interpreting ratios and changes. This normalization is widely used across finance, science and everyday decision making.

Summary

Percentages bridge abstract mathematics and practical application, making ratios comparable and interpretable. From discounts and grades to statistical summaries, percentage conversion is a key skill for quantitative literacy.

More Fraction Calculators

Add Fractions  •  Compare Fractions  •  Decimal to Fraction  •  Divide Fractions  •  Fraction to Decimal  •  Fraction to Percent  •  Egyptian Fraction  •  Mixed number to improper Fraction  •  Multiply Fractions  •  Percent to Fraction  •  Simplify Fraction  •  Subtract Fractions  •