Converting 0.284536 to a Fraction
Step-by-step explanation of how to convert 0.284536 to a fraction

Result

0.284536 =
35567
125000

Step 1: Identify the number of decimal places

The decimal 0.284536 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.284536 × 1000000 = 284536

Step 3: Write as a fraction

0.284536 =

284536
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 284536 and 1000000.

GCD(284536, 1000000) = 8

Divide both the numerator and denominator by the GCD:

284536
1000000

=

284536 ÷ 8
1000000 ÷ 8

=

35567
125000
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