Converting 21.825 to a Fraction
Step-by-step explanation of how to convert 21.825 to a fraction
Result
21.825 =
873
40
Mixed number:
21
33
40
Step 1: Identify the number of decimal places
The decimal 21.825 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
21.825 × 1000 = 21825
Step 3: Write as a fraction
21.825 =
21825
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21825 and 1000.
GCD(21825, 1000) = 25
Divide both the numerator and denominator by the GCD:
21825
1000
=
21825 ÷ 25
1000 ÷ 25
=
873
40
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