Converting 21.9726 to a Fraction
Step-by-step explanation of how to convert 21.9726 to a fraction

Result

21.9726 =
109863
5000
Mixed number:
21
4863
5000

Step 1: Identify the number of decimal places

The decimal 21.9726 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.9726 × 10000 = 219726

Step 3: Write as a fraction

21.9726 =

219726
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 219726 and 10000.

GCD(219726, 10000) = 2

Divide both the numerator and denominator by the GCD:

219726
10000

=

219726 ÷ 2
10000 ÷ 2

=

109863
5000
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