Converting 21.155 to a Fraction
Step-by-step explanation of how to convert 21.155 to a fraction

Result

21.155 =
4231
200
Mixed number:
21
31
200

Step 1: Identify the number of decimal places

The decimal 21.155 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.155 × 1000 = 21155

Step 3: Write as a fraction

21.155 =

21155
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21155 and 1000.

GCD(21155, 1000) = 5

Divide both the numerator and denominator by the GCD:

21155
1000

=

21155 ÷ 5
1000 ÷ 5

=

4231
200
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