Converting 0.195725 to a Fraction
Step-by-step explanation of how to convert 0.195725 to a fraction
Result
0.195725 =
7829
40000
Step 1: Identify the number of decimal places
The decimal 0.195725 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.195725 × 1000000 = 195725
Step 3: Write as a fraction
0.195725 =
195725
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 195725 and 1000000.
GCD(195725, 1000000) = 25
Divide both the numerator and denominator by the GCD:
195725
1000000
=
195725 ÷ 25
1000000 ÷ 25
=
7829
40000
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