Converting 0.83844 to a Fraction
Step-by-step explanation of how to convert 0.83844 to a fraction

Result

0.83844 =
20961
25000

Step 1: Identify the number of decimal places

The decimal 0.83844 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.83844 × 100000 = 83844

Step 3: Write as a fraction

0.83844 =

83844
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 83844 and 100000.

GCD(83844, 100000) = 4

Divide both the numerator and denominator by the GCD:

83844
100000

=

83844 ÷ 4
100000 ÷ 4

=

20961
25000
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