0.1002 as a Fraction

What is 0.1002 as a Fraction?


0.1002 Decimal

= 501/5000 as a Fraction

Formula How to

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How to write 0.1002 as a Fraction? A decimal to fraction conversion is the process of representing a decimal number as a fraction. In a fraction, the top number (numerator) represents the part of a whole, and the bottom number (denominator) represents the whole. Converting a decimal to a fraction involves expressing the decimal as a ratio of two numbers, with the denominator being a power of 10. The resulting fraction is usually in its simplest form, which means that the numerator and denominator have no common factors other than 1.

To conversion Decimal to Fraction follow these steps, which is given below-

  1. Take the decimal value for calculation.
  2. Then, Divided that decimal value by 1, like this
    decimal/1
  3. Multiply both numerator and denominator by 10 for every number after the decimal point.
  4. Then, Find the GCD (Greatest Common Divisor) to convert its lowest terms.
  5. Simplify or reduce the fraction.

For calculation, here's how to convert 0.1002 as a Fraction using the formula above, step by step instructions are given below

  1. Take only after the decimal point part for calculation.
    .1002
  2. Then, divide that value by 1.
    .1002/1
  3. Multiply both numerator and denominator by 10000 (because there are 4 digits after the decimal point so that is 104 = 10000).
    .1002 × 10000/1 × 10000
    =
    1002/10000
    ;
  4. To simplify
    1002/10000
    its lowest terms, find GCD (Greatest Common Divisor) for 1002 & 10000, which is 2. Here's How to Find GCD of 1002 and 10000?
    1002/2/10000/2
  5. After simplify or reduce the fraction.
    501/5000

Decimal Fraction Percentage
0.0997 997/10000 9.97%
0.0998 499/5000 9.98%
0.0999 999/10000 9.99%
0.1 1/10 10%
0.1001 1001/10000 10.01%
0.1002 501/5000 10.02%
0.1003 1003/10000 10.03%
0.1004 251/2500 10.04%
0.1005 201/2000 10.05%
0.1006 503/5000 10.06%

0.1002 Decimal is equal to 501/5000 as a Fraction.

0.1002 Decimal is equal to 10.02% as a Percentage.

10.02% is equal to 501/5000 as a Fraction.