Converting 21.505 to a Fraction
Step-by-step explanation of how to convert 21.505 to a fraction
Result
21.505 =
4301
200
Mixed number:
21
101
200
Step 1: Identify the number of decimal places
The decimal 21.505 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.505 × 1000 = 21505
Step 3: Write as a fraction
21.505 =
21505
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21505 and 1000.
GCD(21505, 1000) = 5
Divide both the numerator and denominator by the GCD:
21505
1000
=
21505 ÷ 5
1000 ÷ 5
=
4301
200
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