Converting 10.2152 to a Fraction
Step-by-step explanation of how to convert 10.2152 to a fraction
Result
10.2152 =
12769
1250
Mixed number:
10
269
1250
Step 1: Identify the number of decimal places
The decimal 10.2152 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2152 × 10000 = 102152
Step 3: Write as a fraction
10.2152 =
102152
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102152 and 10000.
GCD(102152, 10000) = 8
Divide both the numerator and denominator by the GCD:
102152
10000
=
102152 ÷ 8
10000 ÷ 8
=
12769
1250
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