Decimal to Fraction Calculator

Decimal to 16ths, 32nds, 64ths

Visual Representation

Ruler — nearest 1/16"
0"
01/41/23/41
Decimal
0
Nearest 16th
0/16
Error
0

How 16ths Precision Conversion Works

Live Conversion Demo

1
Enter Decimal
2
Conversion Steps
0.625 × 1000 = 625
625 / 1000
GCD(625, 1000) = 125
625÷125 / 1000÷125
3
Result
5/8
62.5%
Pie Chart
Proportion
0 5/8 1
01

Enter Your Decimal

Type any decimal number into the calculator. Supports standard decimals, repeating patterns, and measurement values.

02

Instant Conversion

Our algorithm converts your decimal to a fraction instantly, finding the greatest common divisor to simplify it to the lowest terms.

03

Get Results with Steps

See your fraction in simplified form, as a mixed number, and with a complete step-by-step breakdown of the conversion process.

Understanding Fractional Precision

When converting a decimal to a fraction for practical measurements (like woodworking or machining), you usually don't want an exact, obscure fraction like 82/100 (41/50). Instead, you want the nearest fraction on a standard scale.

When to Use 16ths vs 32nds vs 64ths

  • 1/16": Standard construction and carpentry. The smallest mark on most standard measuring tapes.
  • 1/32": Fine woodworking and detailed DIY projects. Found on precision rulers.
  • 1/64": Machining, metalworking, and highly precise drafting. Found on machinist scales.

16ths Reference Table

Fraction Decimal
1/160.0625
1/80.125
3/160.1875
1/40.25
5/160.3125
3/80.375
7/160.4375
1/20.5
9/160.5625
5/80.625
11/160.6875
3/40.75
13/160.8125
7/80.875
15/160.9375

Additional 32nds Reference

Fraction Decimal
1/320.03125
3/320.09375
5/320.15625
7/320.21875
9/320.28125
11/320.34375
13/320.40625
15/320.46875
17/320.53125
19/320.59375

Frequently Asked Questions

Common questions about 16ths fractions, tape measure reading, and rounding

01 How do I round a decimal to the nearest 16th?

Multiply the decimal value by 16, round the result to the nearest whole number, and place it over 16. Simplify the fraction if possible.

02 Why is 16ths precision so common?

It is the standard precision for most construction and carpentry work in the United States, representing the smallest tick marks on standard measuring tapes.

03 How do I find 16ths on a tape measure?

The 16ths are the shortest lines on a standard tape measure, located exactly between the 8th-inch marks. Counting them gives you the exact 1/16th measurement.

04 When should I use 16ths vs 32nds?

Use 16ths for framing, flooring, and general carpentry where normal tolerances are acceptable. Use 32nds for fine woodworking and precision machining.

05 What is the decimal equivalent of 1/16?

The decimal equivalent of 1/16 is 0.0625.

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