Converting 21.9658 to a Fraction
Step-by-step explanation of how to convert 21.9658 to a fraction

Result

21.9658 =
109829
5000
Mixed number:
21
4829
5000

Step 1: Identify the number of decimal places

The decimal 21.9658 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.9658 × 10000 = 219658

Step 3: Write as a fraction

21.9658 =

219658
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 219658 and 10000.

GCD(219658, 10000) = 2

Divide both the numerator and denominator by the GCD:

219658
10000

=

219658 ÷ 2
10000 ÷ 2

=

109829
5000
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