Converting 0.284312 to a Fraction
Step-by-step explanation of how to convert 0.284312 to a fraction
Result
0.284312 =
35539
125000
Step 1: Identify the number of decimal places
The decimal 0.284312 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.284312 × 1000000 = 284312
Step 3: Write as a fraction
0.284312 =
284312
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284312 and 1000000.
GCD(284312, 1000000) = 8
Divide both the numerator and denominator by the GCD:
284312
1000000
=
284312 ÷ 8
1000000 ÷ 8
=
35539
125000
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