Converting 0.389792 to a Fraction
Step-by-step explanation of how to convert 0.389792 to a fraction
Result
0.389792 =
12181
31250
Step 1: Identify the number of decimal places
The decimal 0.389792 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.389792 × 1000000 = 389792
Step 3: Write as a fraction
0.389792 =
389792
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 389792 and 1000000.
GCD(389792, 1000000) = 32
Divide both the numerator and denominator by the GCD:
389792
1000000
=
389792 ÷ 32
1000000 ÷ 32
=
12181
31250
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