Converting 0.089834 to a Fraction
Step-by-step explanation of how to convert 0.089834 to a fraction

Result

0.089834 =
44917
500000

Step 1: Identify the number of decimal places

The decimal 0.089834 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.089834 × 1000000 = 89834

Step 3: Write as a fraction

0.089834 =

89834
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 89834 and 1000000.

GCD(89834, 1000000) = 2

Divide both the numerator and denominator by the GCD:

89834
1000000

=

89834 ÷ 2
1000000 ÷ 2

=

44917
500000
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