Converting 21.82768 to a Fraction
Step-by-step explanation of how to convert 21.82768 to a fraction
Result
21.82768 =
136423
6250
Mixed number:
21
5173
6250
Step 1: Identify the number of decimal places
The decimal 21.82768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
21.82768 × 100000 = 2182768
Step 3: Write as a fraction
21.82768 =
2182768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2182768 and 100000.
GCD(2182768, 100000) = 16
Divide both the numerator and denominator by the GCD:
2182768
100000
=
2182768 ÷ 16
100000 ÷ 16
=
136423
6250
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