Converting 21.7828 to a Fraction
Step-by-step explanation of how to convert 21.7828 to a fraction
Result
21.7828 =
54457
2500
Mixed number:
21
1957
2500
Step 1: Identify the number of decimal places
The decimal 21.7828 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
21.7828 × 10000 = 217828
Step 3: Write as a fraction
21.7828 =
217828
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 217828 and 10000.
GCD(217828, 10000) = 4
Divide both the numerator and denominator by the GCD:
217828
10000
=
217828 ÷ 4
10000 ÷ 4
=
54457
2500
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