Converting 0.28435 to a Fraction
Step-by-step explanation of how to convert 0.28435 to a fraction

Result

0.28435 =
5687
20000

Step 1: Identify the number of decimal places

The decimal 0.28435 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.28435 × 100000 = 28435

Step 3: Write as a fraction

0.28435 =

28435
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28435 and 100000.

GCD(28435, 100000) = 5

Divide both the numerator and denominator by the GCD:

28435
100000

=

28435 ÷ 5
100000 ÷ 5

=

5687
20000
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