Master fraction to decimal conversions with our comprehensive, customizable reference chart. Perfect for students, teachers, woodworkers, and anyone working with measurements.
Math Study • 1/16 • 4 decimals
Precision: 1/16 • Decimal places: 4 • With percentages
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/16 | 0.0625 | 6.25% |
| 1/8 | 0.1250 | 12.50% |
| 3/16 | 0.1875 | 18.75% |
| 1/4 | 0.2500 | 25.00% |
| 5/16 | 0.3125 | 31.25% |
| 3/8 | 0.3750 | 37.50% |
| 7/16 | 0.4375 | 43.75% |
| 1/2 | 0.5000 | 50.00% |
| 9/16 | 0.5625 | 56.25% |
| 5/8 | 0.6250 | 62.50% |
| 11/16 | 0.6875 | 68.75% |
| 3/4 | 0.7500 | 75.00% |
| 13/16 | 0.8125 | 81.25% |
| 7/8 | 0.8750 | 87.50% |
| 15/16 | 0.9375 | 93.75% |
Formula: decimal = numerator ÷ denominator
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Fractions
15
Precision
1/16 • 4 decimals
PDF FILE SIZE
≈0KB
Quality
300 DPI
Master fraction to decimal conversions with three simple methods
Each row shows a fraction and its decimal equivalent. Common fractions like 1/2, 1/4, and 3/4 are highlighted for quick reference.
Example:
1/2 = 0.5 = 50%
3/8 = 0.375 = 37.5%
Tip: Start by memorizing halves, quarters, and eighths - these form the foundation for all other fractions.
Choose the right precision level for your needs. Higher denominators provide more accuracy but create longer charts.
Precision Levels:
1/8 - Basic (8 fractions)
1/16 - Standard (16 fractions)
1/32 - Woodworking (32 fractions)
1/64 - High Precision (64 fractions)
Note: For most educational purposes, 1/16 or 1/32 precision provides the perfect balance between detail and usability.
💡 Pro Tip: Use this chart as a quick reference instead of calculating every time!
Discover how students, professionals, and hobbyists use fraction to decimal charts in their work
Essential study tool for students learning fraction concepts, decimal equivalents, and percentage conversions. Helps build number sense and mental math skills.
💡 Recommended: 1/16 precision with percentages
Critical reference when reading tape measures, setting router bits, or calculating cut dimensions. Convert fractional inch measurements to decimals for precision tools.
💡 Recommended: 1/32 or 1/64 precision with inch marks
Helpful for recipe conversions when scaling measurements or converting between cup fractions and decimal ounces. Ensures precise ingredient ratios for consistent results.
💡 Recommended: 1/8 or 1/16 precision
The Formula
Example Conversion:
Problem: Convert 3/4 to decimal
Step 1: Identify numerator (3) and denominator (4)
Step 2: Divide: 3 ÷ 4 = 0.75
Answer: 3/4 = 0.75 (or 75%)
Mastering these common fractions will make mental math much faster. These form the foundation of the fraction system:
💡 Memory Trick: Notice patterns! All odd numerators with denominator 8 end in .125, .375, .625, or .875. Once you know the pattern, you can calculate any fraction mentally.
Always reduce fractions before converting
Compare to fractions you know
Use fraction relationships
Why calculate when you can look it up?
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Divide the top number (numerator) by the bottom number (denominator). For example, 3/4 means 3 ÷ 4 = 0.75. For common fractions, it's faster to memorize the values or use this printable chart as a quick reference. The most important ones to know are halves (0.5), quarters (0.25, 0.75), and eighths (0.125, 0.375, 0.625, 0.875).
Repeating decimals occur when the denominator contains prime factors other than 2 or 5. For example, 1/3 = 0.333... (repeating 3s) and 1/7 = 0.142857142857... (repeating pattern). These are called recurring decimals. In practical applications, we round these to a certain number of decimal places (like 1/3 ≈ 0.333 or 0.3333).
For most woodworking projects, 1/32 precision with 4-5 decimal places is ideal. This matches standard tape measure markings and provides enough accuracy for router bits, saw settings, and material thickness. If you work with very precise joinery or CNC machines, consider 1/64 precision. For rough carpentry, 1/16 is usually sufficient.
To convert a decimal to a fraction: 1) Count the decimal places (0.75 has 2 places), 2) Put the number over that power of 10 (75/100), 3) Simplify by dividing both numbers by their greatest common divisor (75/100 = 3/4). For repeating decimals, the process is more complex - check out our Decimal to Fraction chart for a pre-calculated reference!
Recipe measurements often use fractions (1/2 cup, 3/4 teaspoon, etc.) because they're easy to measure with standard kitchen tools. Understanding decimal equivalents helps when scaling recipes (multiplying by 1.5 or 2.5) or converting between measurement systems. For example, knowing that 3/4 cup = 0.75 cups makes it easy to calculate that you need 1.125 cups for a 1.5× recipe.
They're three ways to express the same value! A fraction (3/4) becomes a decimal by division (0.75), and a percentage by multiplying the decimal by 100 (75%). So 3/4 = 0.75 = 75% - all represent the same amount. This chart shows all three formats to help you understand these relationships and convert between them quickly.
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