Converting 10.5725 to a Fraction
Step-by-step explanation of how to convert 10.5725 to a fraction
Result
10.5725 =
4229
400
Mixed number:
10
229
400
Step 1: Identify the number of decimal places
The decimal 10.5725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.5725 × 10000 = 105725
Step 3: Write as a fraction
10.5725 =
105725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 105725 and 10000.
GCD(105725, 10000) = 25
Divide both the numerator and denominator by the GCD:
105725
10000
=
105725 ÷ 25
10000 ÷ 25
=
4229
400
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