Converting 10.589096 to a Fraction
Step-by-step explanation of how to convert 10.589096 to a fraction

Result

10.589096 =
1323637
125000
Mixed number:
10
73637
125000

Step 1: Identify the number of decimal places

The decimal 10.589096 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.589096 × 1000000 = 10589096

Step 3: Write as a fraction

10.589096 =

10589096
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10589096 and 1000000.

GCD(10589096, 1000000) = 8

Divide both the numerator and denominator by the GCD:

10589096
1000000

=

10589096 ÷ 8
1000000 ÷ 8

=

1323637
125000
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