Converting 10.164 to a Fraction
Step-by-step explanation of how to convert 10.164 to a fraction
Result
10.164 =
2541
250
Mixed number:
10
41
250
Step 1: Identify the number of decimal places
The decimal 10.164 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.164 × 1000 = 10164
Step 3: Write as a fraction
10.164 =
10164
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10164 and 1000.
GCD(10164, 1000) = 4
Divide both the numerator and denominator by the GCD:
10164
1000
=
10164 ÷ 4
1000 ÷ 4
=
2541
250
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