Converting 20.9828 to a Fraction
Step-by-step explanation of how to convert 20.9828 to a fraction

Result

20.9828 =
52457
2500
Mixed number:
20
2457
2500

Step 1: Identify the number of decimal places

The decimal 20.9828 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.9828 × 10000 = 209828

Step 3: Write as a fraction

20.9828 =

209828
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 209828 and 10000.

GCD(209828, 10000) = 4

Divide both the numerator and denominator by the GCD:

209828
10000

=

209828 ÷ 4
10000 ÷ 4

=

52457
2500
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