Converting 10.9806 to a Fraction
Step-by-step explanation of how to convert 10.9806 to a fraction

Result

10.9806 =
54903
5000
Mixed number:
10
4903
5000

Step 1: Identify the number of decimal places

The decimal 10.9806 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9806 × 10000 = 109806

Step 3: Write as a fraction

10.9806 =

109806
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109806 and 10000.

GCD(109806, 10000) = 2

Divide both the numerator and denominator by the GCD:

109806
10000

=

109806 ÷ 2
10000 ÷ 2

=

54903
5000
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