Converting 21.164 to a Fraction
Step-by-step explanation of how to convert 21.164 to a fraction
Result
21.164 =
5291
250
Mixed number:
21
41
250
Step 1: Identify the number of decimal places
The decimal 21.164 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.164 × 1000 = 21164
Step 3: Write as a fraction
21.164 =
21164
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21164 and 1000.
GCD(21164, 1000) = 4
Divide both the numerator and denominator by the GCD:
21164
1000
=
21164 ÷ 4
1000 ÷ 4
=
5291
250
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