Converting 27.5625 to a Fraction
Step-by-step explanation of how to convert 27.5625 to a fraction
Result
27.5625 =
441
16
Mixed number:
27
9
16
Step 1: Identify the number of decimal places
The decimal 27.5625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.5625 × 10000 = 275625
Step 3: Write as a fraction
27.5625 =
275625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 275625 and 10000.
GCD(275625, 10000) = 625
Divide both the numerator and denominator by the GCD:
275625
10000
=
275625 ÷ 625
10000 ÷ 625
=
441
16
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