Converting 10.166 to a Fraction
Step-by-step explanation of how to convert 10.166 to a fraction
Result
10.166 =
5083
500
Mixed number:
10
83
500
Step 1: Identify the number of decimal places
The decimal 10.166 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.166 × 1000 = 10166
Step 3: Write as a fraction
10.166 =
10166
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10166 and 1000.
GCD(10166, 1000) = 2
Divide both the numerator and denominator by the GCD:
10166
1000
=
10166 ÷ 2
1000 ÷ 2
=
5083
500
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