Converting 10.1864 to a Fraction
Step-by-step explanation of how to convert 10.1864 to a fraction
Result
10.1864 =
12733
1250
Mixed number:
10
233
1250
Step 1: Identify the number of decimal places
The decimal 10.1864 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.1864 × 10000 = 101864
Step 3: Write as a fraction
10.1864 =
101864
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 101864 and 10000.
GCD(101864, 10000) = 8
Divide both the numerator and denominator by the GCD:
101864
10000
=
101864 ÷ 8
10000 ÷ 8
=
12733
1250
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