Converting 0.105675 to a Fraction
Step-by-step explanation of how to convert 0.105675 to a fraction
Result
0.105675 =
4227
40000
Step 1: Identify the number of decimal places
The decimal 0.105675 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.105675 × 1000000 = 105675
Step 3: Write as a fraction
0.105675 =
105675
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 105675 and 1000000.
GCD(105675, 1000000) = 25
Divide both the numerator and denominator by the GCD:
105675
1000000
=
105675 ÷ 25
1000000 ÷ 25
=
4227
40000
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