Converting 27.5752 to a Fraction
Step-by-step explanation of how to convert 27.5752 to a fraction
Result
27.5752 =
34469
1250
Mixed number:
27
719
1250
Step 1: Identify the number of decimal places
The decimal 27.5752 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.5752 × 10000 = 275752
Step 3: Write as a fraction
27.5752 =
275752
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 275752 and 10000.
GCD(275752, 10000) = 8
Divide both the numerator and denominator by the GCD:
275752
10000
=
275752 ÷ 8
10000 ÷ 8
=
34469
1250
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