Converting 0.395 to a Fraction
Step-by-step explanation of how to convert 0.395 to a fraction
Result
0.395 =
79
200
Step 1: Identify the number of decimal places
The decimal 0.395 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.395 × 1000 = 395
Step 3: Write as a fraction
0.395 =
395
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 395 and 1000.
GCD(395, 1000) = 5
Divide both the numerator and denominator by the GCD:
395
1000
=
395 ÷ 5
1000 ÷ 5
=
79
200
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