Converting 10.9858 to a Fraction
Step-by-step explanation of how to convert 10.9858 to a fraction

Result

10.9858 =
54929
5000
Mixed number:
10
4929
5000

Step 1: Identify the number of decimal places

The decimal 10.9858 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.9858 × 10000 = 109858

Step 3: Write as a fraction

10.9858 =

109858
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 109858 and 10000.

GCD(109858, 10000) = 2

Divide both the numerator and denominator by the GCD:

109858
10000

=

109858 ÷ 2
10000 ÷ 2

=

54929
5000
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