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What is 0.015625 as a Fraction?

Learn how to convert 0.015625 to a fraction with step-by-step instructions

Quick Answer

0.015625 as a fraction is:

1/64

This is the simplest form of the fraction

0.015625 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.015625 to a Fraction

General Method: Converting Decimals to Fractions

Follow these steps to convert any decimal to a fraction

Step 1: Count Decimal Places

Count the number of digits after the decimal point

Example: 0.25 has 2 decimal places

Step 2: Multiply by Power of 10

Multiply by 10 raised to the number of decimal places

0.25 × 100 = 25

Step 3: Create Fraction

Use the result as numerator over the multiplier as denominator

25/100

Step 4: Simplify

Reduce the fraction if possible by dividing both numbers by their GCD

25/100 = 1/4

Converting 0.015625 to a Fraction

Let's apply the method to convert 0.015625

1

Count the decimal places in 0.015625

0.015625
There are 6 digits after the decimal point
2

Multiply by 10⁵ (1,000,000)

0.015625 × 1,000,000 = 15625
Moving the decimal point 6 places right
3

Write as a fraction

15625/1,000,000
Numerator: 15625, Denominator: 1,000,000
4

Simplify the fraction

15625/1,000,000 = 1/64
Divide both numbers by their greatest common factor (15625)

Final Result

0.015625 = 1/64

Tips and Notes

  • The denominator will always be a power of 10 for terminating decimals
  • Each decimal place corresponds to multiplying by 10 (e.g., 6 places = 1,000,000)
  • Very small decimals like 0.015625 often result in fractions with large denominators

Related Decimal to Fraction Conversions

DecimalFractionComparison
0.00156250.1/64Smaller
0.0156251/64Current Value
0.1562510/64Larger
1.5625100/64Larger
15.6251000/64Larger

Additional Information

Scientific Notation

0.015625 can be written as 1 × 10⁻6 in scientific notation

Percentage

0.015625 is equal to 1.563% as a percentage

Common Calculations with 0.015625

Quick Reference Guide

Common calculations and conversions with 0.015625

Multiplication

  • 0.015625 × 10 = 0.15625
  • 0.015625 × 100 = 1.5625
  • 0.015625 × 1000 = 15.625
  • 0.015625 × 10000 = 156.25
  • 0.015625 × 64 = 1

Division

  • 0.015625 ÷ 2 = 0.0078125
  • 0.015625 ÷ 5 = 0.003125
  • 0.015625 ÷ 10 = 0.0015625
  • 0.015625 ÷ 1/0.015625 = 64

0.015625 in Different Number Systems

Decimal

0.015625

Scientific Notation

1 × 10⁻6

Percentage

1.563%

Fraction

1/64

Parts Per Million

15625 PPM

Binary

0.0000 0001 0101 0110 0010 0101

Real-World Applications of 0.015625

Where You Might Encounter 0.015625

Scientific Applications

  • • Microscopic measurements (15625 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

  • • Manufacturing tolerances
  • • Electronic component specifications
  • • Quality control measurements
  • • Precision engineering

Related Decimal Conversions