Converting 10.585424 to a Fraction
Step-by-step explanation of how to convert 10.585424 to a fraction

Result

10.585424 =
661589
62500
Mixed number:
10
36589
62500

Step 1: Identify the number of decimal places

The decimal 10.585424 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.585424 × 1000000 = 10585424

Step 3: Write as a fraction

10.585424 =

10585424
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10585424 and 1000000.

GCD(10585424, 1000000) = 16

Divide both the numerator and denominator by the GCD:

10585424
1000000

=

10585424 ÷ 16
1000000 ÷ 16

=

661589
62500
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