Converting 10.2144 to a Fraction
Step-by-step explanation of how to convert 10.2144 to a fraction
Result
10.2144 =
6384
625
Mixed number:
10
134
625
Step 1: Identify the number of decimal places
The decimal 10.2144 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2144 × 10000 = 102144
Step 3: Write as a fraction
10.2144 =
102144
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102144 and 10000.
GCD(102144, 10000) = 16
Divide both the numerator and denominator by the GCD:
102144
10000
=
102144 ÷ 16
10000 ÷ 16
=
6384
625
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