Converting 0.164 to a Fraction
Step-by-step explanation of how to convert 0.164 to a fraction
Result
0.164 =
41
250
Step 1: Identify the number of decimal places
The decimal 0.164 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.164 × 1000 = 164
Step 3: Write as a fraction
0.164 =
164
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 164 and 1000.
GCD(164, 1000) = 4
Divide both the numerator and denominator by the GCD:
164
1000
=
164 ÷ 4
1000 ÷ 4
=
41
250
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