What is 0.701 as a Fraction?

Learn how to convert 0.701 to a fraction with step-by-step instructions

Quick Answer

0.701 as a fraction is:

701/1000

This is the simplest form of the fraction

0.701 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 0.701 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 0.701 to a Fraction

Let's apply the method to convert 0.701

1

Count the decimal places in 0.701

0.701
There are 3 digits after the decimal point
2

Multiply by 10 (1,000)

0.701 × 1,000 = 701
Moving the decimal point 3 places right
3

Write as a fraction

701/1,000
Numerator: 701, Denominator: 1,000
4

Simplify the fraction

701/1,000 = 701/1000
This fraction is already in its simplest form

Final Result

0.701 = 701/1000

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., 3 places = 1,000)
  • Very small decimals like 0.701 often result in fractions with large denominators
DecimalFractionComparison
0.070170.1/1000Smaller
0.701701/1000Current Value
7.017010/1000Larger
70.170100/1000Larger
701701000/1000Larger

Additional Information

Scientific Notation

0.701 can be written as 701 × 10⁻3 in scientific notation

Percentage

0.701 is equal to 70.100% as a percentage

Common Calculations with 0.701

Quick Reference Guide

Common calculations and conversions with 0.701

Multiplication

  • 0.701 × 10 = 7.01
  • 0.701 × 100 = 70.1
  • 0.701 × 1000 = 701
  • 0.701 × 10000 = 7010
  • 0.701 × 1000 = 701

Division

  • 0.701 ÷ 2 = 0.3505
  • 0.701 ÷ 5 = 0.1402
  • 0.701 ÷ 10 = 0.0701
  • 0.701 ÷ 1/0.701 = 1000

0.701 in Different Number Systems

Decimal

0.701

Scientific Notation

701 × 10⁻3

Percentage

70.100%

Fraction

701/1000

Parts Per Million

701000 PPM

Binary

0.0111 0000 0001

Real-World Applications of 0.701

Where You Might Encounter 0.701

Scientific Applications

  • • Microscopic measurements (701000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

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