Converting 10.2148 to a Fraction
Step-by-step explanation of how to convert 10.2148 to a fraction
Result
10.2148 =
25537
2500
Mixed number:
10
537
2500
Step 1: Identify the number of decimal places
The decimal 10.2148 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2148 × 10000 = 102148
Step 3: Write as a fraction
10.2148 =
102148
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102148 and 10000.
GCD(102148, 10000) = 4
Divide both the numerator and denominator by the GCD:
102148
10000
=
102148 ÷ 4
10000 ÷ 4
=
25537
2500
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