Converting 10.5275 to a Fraction
Step-by-step explanation of how to convert 10.5275 to a fraction
Result
10.5275 =
4211
400
Mixed number:
10
211
400
Step 1: Identify the number of decimal places
The decimal 10.5275 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.5275 × 10000 = 105275
Step 3: Write as a fraction
10.5275 =
105275
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 105275 and 10000.
GCD(105275, 10000) = 25
Divide both the numerator and denominator by the GCD:
105275
10000
=
105275 ÷ 25
10000 ÷ 25
=
4211
400
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